Search Results - Quantum groups and related algebraic methods applied to problems in quantum theory

A Wells-like exact sequence for abelian extensions of relative Rota–Baxter groups: A Wells-like exact sequence for abelian extensions of relative Rota-Baxter groups

Authors: Belwal, Pragya Rathee, Nishant

Source: Homology, Homotopy and Applications. 27:251-273

Subject Terms: automorphism, inducibility problem, Yang-Baxter equations, extension, Mathematics - Quantum Algebra, Yang-Baxter equation, cohomology, Mathematics - Rings and Algebras, [2010]{17B38, 16T25, 81R50}, relative Rota-Baxter group, Wells exact sequence, Yang-Baxter equations and Rota-Baxter operators, Quantum groups and related algebraic methods applied to problems in quantum theory, Mathematics - Group Theory

File Description: application/xml

Access URL: http://arxiv.org/abs/2401.14058

Deformed solutions of the Yang–Baxter equation associated to dual weak braces: Deformed solutions of the Yang-Baxter equation associated to dual weak braces

Authors: Marzia Mazzotta Bernard Rybołowicz Paola Stefanelli

Source: Annali di Matematica Pura ed Applicata (1923 -). 204:711-731

Subject Terms: 16T25, 81R50, 20M18, 16Y99, Yang-Baxter equations, Rings and Algebras (math.RA), weak brace, Mathematics - Quantum Algebra, FOS: Mathematics, Quantum Algebra (math.QA), Yang–Baxter equation, set-theoretic solution, Mathematics - Rings and Algebras, Yang–Baxter equation, Set-theoretic solution, Inverse semigroup, Clifford semigroup, Skew brace, Brace, Weak brace, Quantum groups and related algebraic methods applied to problems in quantum theory

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Access URL: http://arxiv.org/abs/2304.05235
https://zbmath.org/8018091
https://doi.org/10.1007/s10231-024-01502-7
https://link.springer.com/article/10.1007/s10231-024-01502-7
https://doi.org/10.1007/s10231-024-01502-7
https://hdl.handle.net/11587/530526

Curtright-Zachos supersymmetric deformations of the Virasoro algebra in quantum superspace and Bloch electron systems

Authors: Haru-Tada Sato

Source: Physics Letters B, Vol 861, Iss, Pp 139255-(2025)
Physics Letters

Subject Terms: Hom-Lie algebra, High Energy Physics - Theory, quantum superspace, Virasoro and related algebras, tight binding model, Quantum superspace, Physics, QC1-999, FOS: Physical sciences, Relativity and gravitational theory, Zeeman effect, Mathematical Physics (math-ph), Hom-Lie and related algebras, Virasoro algebra, q-deformation, High Energy Physics - Theory (hep-th), Quantum theory, Tight binding model, Noncommutative geometry in quantum theory, \(q\)-deformation, Quantum groups and related algebraic methods applied to problems in quantum theory, Mathematical Physics

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Access URL: http://arxiv.org/abs/2411.04886
https://zbmath.org/8013383
https://doi.org/10.1016/j.physletb.2025.139255
https://doaj.org/article/dfb40600204e4ed6b9edcc0ee5f8d2f1

Bicrossproduct vs. twist quantum symmetries in noncommutative geometries: the case of ϱ-Minkowski: Bicrossproduct vs. twist quantum symmetries in noncommutative geometries: the case of \(\varrho\)-Minkowski

Authors: Giuseppe Fabiano Giulia Gubitosi Fedele Lizzi et al.

Source: Journal of High Energy Physics, Vol 2023, Iss 8, Pp 1-40 (2023)
Journal of High Energy Physics

Subject Terms: High Energy Physics - Theory, quantum groups, Space-Time Symmetries, Noncommutative geometry, FOS: Physical sciences, Quantum Spacetime, QC770-798, Quantum Groups, High Energy Physics - Theory (hep-th), Noncommutative geometry, Quantum Spacetime, Non-Commutative Geometry, Nuclear and particle physics. Atomic energy. Radioactivity, Mathematics - Quantum Algebra, spacetime symmetries, FOS: Mathematics, Noncommutative geometry in quantum theory, Quantum Algebra (math.QA), noncommutative geometry, Quantum groups and related algebraic methods applied to problems in quantum theory

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Access URL: http://arxiv.org/abs/2305.00526
https://doaj.org/article/1bcd5df290584a30892acc68130f0692
https://hdl.handle.net/11588/949708
https://hdl.handle.net/11588/949708
https://doi.org/10.1007/JHEP08(2023)220

Algebraic Bethe Ansatz for the Open XXZ Spin Chain with Non-Diagonal Boundary Terms via $U_{\mathfrak{q}}\mathfrak{sl}_2$ Symmetry: Algebraic Bethe ansatz for the open XXZ spin chain with non-diagonal boundary terms via \(U_{\mathfrak{q}}\mathfrak{sl}_2\) symmetry

Authors: Chernyak, Dmitry Gainutdinov, Azat M. Jacobsen, Jesper Lykke et al.

Contributors: Chernyak, Dmitry Gainutdinov, Azat M. Jacobsen, Jesper Lykke et al.

Source: Symmetry, Integrability and Geometry: Methods and Applications.

Subject Terms: High Energy Physics - Theory, algebra: Temperley-Lieb, Yang-Baxter equations, non-diagonal K-matrices, quantum group: SL(2), FOS: Physical sciences, Groups and algebras in quantum theory and relations with integrable systems, Fusion categories, modular tensor categories, modular functors, Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics, 01 natural sciences, Representations of Lie and real algebraic groups: algebraic methods (Verma modules, etc.), Exactly and quasi-solvable systems arising in quantum theory, Generalized knots (virtual knots, welded knots, quandles, etc.), Temperley-Lieb algebras, Mathematics - Quantum Algebra, 0103 physical sciences, FOS: Mathematics, Quantum Algebra (math.QA), XXZ model, 0101 mathematics, algebra: lattice, Quantum groups and related algebraic methods applied to problems in quantum theory, Exactly solvable models, Bethe ansatz, Condensed Matter - Statistical Mechanics, Mathematical Physics, quantum integrable models, Statistical Mechanics (cond-mat.stat-mech), Symmetry breaking in quantum theory, Verma modules, Verma module, symmetry: U(1), Mathematical Physics (math-ph), [PHYS.MPHY] Physics [physics]/Mathematical Physics [math-ph], boundary condition, High Energy Physics - Theory (hep-th), [PHYS.HTHE] Physics [physics]/High Energy Physics - Theory [hep-th], [PHYS.COND] Physics [physics]/Condensed Matter [cond-mat]

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Access URL: http://arxiv.org/abs/2212.09696

An algebraic approach to the inverse eigenvalue problem for a quantum system with a dynamical group

Authors: S J Wang S Y Chu

Source: Journal of Physics A: Mathematical and General. 27:5655-5671

Subject Terms: polynomial operator basis, Applications of operator theory in the physical sciences, algebraic approach to the inverse eigenvalue problem, \(\text{su}(2)\) algebraic representation, 0103 physical sciences, Quantum scattering theory, quantum regular and irregular spectra, Quantum groups and related algebraic methods applied to problems in quantum theory, quantum system with a dynamical group, 01 natural sciences, Heisenberg- Weyl algebraic representation, Fourier expansion technique, Sturm-Liouville problem

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Access URL: https://zbmath.org/836978
https://doi.org/10.1088/0305-4470/27/16/029
http://iopscience.iop.org/article/10.1088/0305-4470/27/16/029/pdf
https://core.ac.uk/display/52543740
http://repository.gsi.de/record/52943
https://ui.adsabs.harvard.edu/abs/1994JPhA...27.5655W/abstract

Algebraic structures of quantum projective field theory related to fusion and braiding. Hidden additive weight

Authors: Denis Juriev

Source: Journal of Mathematical Physics. 35:3368-3379

Subject Terms: QPFT-operator algebras, High Energy Physics - Theory, fusion, spherical correlation functions, Applications of Lie (super)algebras to physics, etc, Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, \(W\)-algebras and other current algebras and their representations, representations, FOS: Physical sciences, 01 natural sciences, Two-dimensional field theories, conformal field theories, etc. in quantum mechanics, High Energy Physics - Theory (hep-th), enveloping quantum projective field theory, projective Zamolodchikov algebras, 0103 physical sciences, braiding, correlation characters, 0101 mathematics, Quantum groups and related algebraic methods applied to problems in quantum theory

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Access URL: http://arxiv.org/pdf/hep-th/9403051
http://arxiv.org/abs/hep-th/9403051
https://arxiv.org/abs/hep-th/9403051
https://arxiv.org/pdf/hep-th/9403051
https://aip.scitation.org/doi/10.1063/1.530473
https://scitation.aip.org/content/aip/journal/jmp/35/7/10.1063/1.530473
https://ui.adsabs.harvard.edu/abs/1994JMP....35.3368J/abstract
https://core.ac.uk/display/157070646

Representations of Algebraic Quantum Groups and Reconstruction Theorems for Tensor Categories: Representations of algebraic quantum groups and reconstruction theorems for tensor categories

Authors: Mueger, H.A.H. Roberts, J.E. Tuset, L. et al.

Contributors: Mueger, H.A.H. Roberts, J.E. Tuset, L. et al.

Source: Algebras and Representation Theory, 7, 5, pp. 517-573

Subject Terms: 81R50, 18D10, Representation theory, Quantum groups (quantized enveloping algebras) and related deformations, Mathematics - Category Theory, 01 natural sciences, Settore MAT/05 - ANALISI MATEMATICA, Quantum groups, Reconstruction, Tensor categories, 16W35, Monoidal, symmetric monoidal and braided categories, Mathematics - Quantum Algebra, FOS: Mathematics, Quantum group, Quantum Algebra (math.QA), Category Theory (math.CT), algebraic quantum groups, 0101 mathematics, multiplier Hopf algebras, tensor categories, Quantum groups and related algebraic methods applied to problems in quantum theory, Mathematical Physics, Ring-theoretic aspects of quantum groups

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Access URL: http://arxiv.org/pdf/math/0203206
http://arxiv.org/abs/math/0203206
https://art.torvergata.it/handle/2108/30627
https://link.springer.com/article/10.1023/B:ALGE.0000048337.34810.6f
https://repository.ubn.ru.nl/handle/2066/60656
https://www.narcis.nl/publication/RecordID/oai%3Arepository.ubn.ru.nl%3A2066%2F60656
https://link.springer.com/10.1023/B:ALGE.0000048337.34810.6f
https://www.math.ru.nl/~mueger/PDF/14.pdf
https://hdl.handle.net/2066/60656
https://repository.ubn.ru.nl//bitstream/handle/2066/60656/60656pub.pdf
https://hdl.handle.net/2108/30627
https://doi.org/10.1023/B:ALGE.0000048337.34810.6f

Lie groups and quantum groups applied as a tool in finding solutions in some field theories

Authors: Hanna Makaruk

Source: Reports on Mathematical Physics. 36:347-353

Subject Terms: semi-simple Lie groups, quantum groups, Applications of Lie (super)algebras to physics, etc, Quantum field theory, related classical field theories, 0103 physical sciences, field theories, 0101 mathematics, Quantum groups and related algebraic methods applied to problems in quantum theory, 01 natural sciences

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Access URL: https://zbmath.org/1087281
https://doi.org/10.1016/0034-4877(96)83630-5
https://www.sciencedirect.com/science/article/abs/pii/0034487796836305
http://ui.adsabs.harvard.edu/abs/1995RpMP...36..347M/abstract
https://www.sciencedirect.com/science/article/pii/0034487796836305#!

Simple modules over quantized Weyl algebras at roots of unity

Authors: Snehashis Mukherjee Sanu Bera

Source: Journal of Algebra and Its Applications. 24

Subject Terms: Semiprime p.i. rings, rings embeddable in matrices over commutative rings, skew polynomial ring, 16D60, 16D70, 16S85, 01 natural sciences, simple module, Ordinary and skew polynomial rings and semigroup rings, Mathematics - Quantum Algebra, 0103 physical sciences, polynomial identity algebra, FOS: Mathematics, Quantum Algebra (math.QA), Simple and semisimple modules, primitive rings and ideals in associative algebras, Representation Theory (math.RT), 0101 mathematics, quantized Weyl algebra, Quantum groups and related algebraic methods applied to problems in quantum theory, Ring-theoretic aspects of quantum groups, Mathematics - Representation Theory

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Access URL: http://arxiv.org/abs/2310.04046

A braided Yang–Baxter algebra in a theory of two coupled lattice quantum KdV: algebraic properties and ABA representations: A braided Yang-Baxter algebra in a theory of two coupled lattice quantum KdV: algebraic properties and ABA representations.

Authors: Marco Rossi Davide Fioravanti

Source: Journal of Physics A: Mathematical and General. 35:3647-3681

Subject Terms: High Energy Physics - Theory, Nonlinear Sciences - Exactly Solvable and Integrable Systems, Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.), FOS: Physical sciences, Quantum groups (quantized enveloping algebras) and related deformations, 01 natural sciences, Quantum field theory on lattices, Two-dimensional field theories, conformal field theories, etc. in quantum mechanics, KdV equations (Korteweg-de Vries equations), High Energy Physics - Theory (hep-th), Structure of families (Picard-Lefschetz, monodromy, etc.), Mathematics - Quantum Algebra, 0103 physical sciences, FOS: Mathematics, Quantum Algebra (math.QA), Exactly Solvable and Integrable Systems (nlin.SI), Quantum groups and related algebraic methods applied to problems in quantum theory

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Access URL: http://arxiv.org/pdf/hep-th/0104002
http://arxiv.org/abs/hep-th/0104002
https://zbmath.org/2071476
https://doi.org/10.1088/0305-4470/35/16/306
https://researchportal.hw.ac.uk/en/publications/a-braided-yang-baxter-algebra-in-a-theory-of-two-coupled-lattice-
http://ui.adsabs.harvard.edu/abs/2002JPhA...35.3647F/abstract
http://iopscience.iop.org/article/10.1088/0305-4470/35/16/306/pdf
http://iopscience.iop.org/article/10.1088/0305-4470/35/16/306/meta
http://core.ac.uk/display/29070759
https://www.arxiv.org/pdf/hep-th/0104002.pdf
https://arxiv.org/abs/hep-th/0104002

Quantum Group Symmetry in sine-Gordon and Affine Toda Field Theories on the Half-Line: Quantum group symmetry in sine-Gordon and affine Toda field theories on the half-line

Authors: Niall J. MacKay Gustav W. Delius

Source: Communications in Mathematical Physics. 233:173-190

Subject Terms: Inverse spectral and scattering methods for infinite-dimensional Hamiltonian and Lagrangian systems, High Energy Physics - Theory, High Energy Physics - Theory (hep-th), Mathematics - Quantum Algebra, 0103 physical sciences, FOS: Mathematics, Quantum Algebra (math.QA), FOS: Physical sciences, Model quantum field theories, Quantum groups (quantized enveloping algebras) and related deformations, Quantum groups and related algebraic methods applied to problems in quantum theory, 01 natural sciences

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Access URL: http://arxiv.org/abs/hep-th/0112023
https://arxiv.org/abs/hep-th/0112023
https://core.ac.uk/display/1148674
https://eprints.whiterose.ac.uk/5920/
https://link.springer.com/article/10.1007%2Fs00220-002-0758-4
https://www.arxiv-vanity.com/papers/hep-th/0112023/
https://rd.springer.com/article/10.1007/s00220-002-0758-4
http://ui.adsabs.harvard.edu/abs/2003CMaPh.233..173D/abstract
https://arxiv.org/pdf/hep-th/0112023

The quantum q-Krawtchouk and q-Meixner polynomials and their related D-functions for the quantum groups SUq(2) and SUq(1,1): The quantum \(q\)-Krawtchouk and \(q\)-Meixner polynomials and their related \(D\)-functions for the quantum groups \(SU_{q}\)(2) and \(SU_{q}\)(1,1).

Authors: Yuri F. Smirnov Corrado Campigotto

Source: Journal of Computational and Applied Mathematics. :643-660

Subject Terms: Meixner polynomials, Computational Mathematics, Basic orthogonal polynomials and functions (Askey-Wilson polynomials, etc.), Applied Mathematics, Krawtchouk polynomials, 0101 mathematics, q-analogue, Connections of basic hypergeometric functions with quantum groups, Chevalley groups, \(p\)-adic groups, Hecke algebras, and related topics, Quantum groups and related algebraic methods applied to problems in quantum theory, 01 natural sciences, D-function

File Description: application/xml

Access URL: http://ui.adsabs.harvard.edu/abs/2004JCoAM.164..643S/abstract
https://dialnet.unirioja.es/servlet/articulo?codigo=800247
https://www.sciencedirect.com/science/article/pii/S0377042703006411

A C*-ALGEBRAIC FRAMEWORK FOR QUANTUM GROUPS: A \(C^ *\)-algebraic framework for quantum groups.

Authors: Stanisław Lech Woronowicz Y. Nakagami T. Masuda

Source: International Journal of Mathematics. 14:903-1001

Subject Terms: weighted Hopf \(C^*\)-algebras, Other ''noncommutative' mathematics based on \(C^*\)-algebra theory, Quantizations, deformations for selfadjoint operator algebras, Quantum groups (quantized enveloping algebras) and related deformations, Kac-Takesaki operator, Duality theorems for locally compact groups, 01 natural sciences, locally compact quantum groups, Mathematics - Quantum Algebra, FOS: Mathematics, Research exposition (monographs, survey articles) pertaining to functional analysis, duality, Quantum Algebra (math.QA), Quantum groups (quantized function algebras) and their representations, 20G42, 0101 mathematics, scaling group, Quantum groups and related algebraic methods applied to problems in quantum theory

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Access URL: http://arxiv.org/pdf/math/0309338
http://arxiv.org/abs/math/0309338
https://zbmath.org/2078602
https://doi.org/10.1142/s0129167x03002071
https://www.fuw.edu.pl/~slworono/PDF-y/RevFin.pdf
https://www.worldscientific.com/doi/abs/10.1142/S0129167X03002071

Algebraic Bethe ansatz for the elliptic quantum group E,(sl) and its applications: Algebraic Bethe ansatz for the elliptic quantum group \(E_{\tau,\eta}(sl_n)\) and its applications

Authors: Bo-Yu Hou Wen-Li Yang Ryu Sasaki

Source: Nuclear Physics B. 663:467-486

Subject Terms: High Energy Physics - Theory, elliptic quantum group, Particles & Fields, Solvable Lattice Models, FOS: Physical sciences, 8-vertex Model, 01 natural sciences, Yang-baxter Equation, exact model solutions, Nondynamic R-matrix, 0103 physical sciences, Z(n) Belavin model, Quantum groups and related algebraic methods applied to problems in quantum theory, Mathematical Physics, transfer-matrix diagonalization, 02 Physical Sciences, Ruijsenaars-Schneider model, Physics, Systems, 1. No poverty, Bethe ansatz, Mathematical Physics (math-ph), Anisotropic Heisenberg Chain, higher-spin-representation tensor product, integrable models, Representations, High Energy Physics - Theory (hep-th), Sklyanin Algebra, Eigenvectors

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Access URL: http://arxiv.org/pdf/hep-th/0303077
http://arxiv.org/abs/hep-th/0303077
https://zbmath.org/1942100
https://doi.org/10.1016/s0550-3213(03)00390-0
http://www.sciencedirect.com/science/article/pii/S0550321303003900
http://ui.adsabs.harvard.edu/abs/2003NuPhB.663..467H/abstract
https://espace.library.uq.edu.au/view/UQ:122736
https://www.sciencedirect.com/science/article/pii/S0550321303003900
https://www.arxiv-vanity.com/papers/hep-th/0303077/
https://arxiv.org/pdf/hep-th/0303077.pdf
https://arxiv.org/abs/hep-th/0303077

Renormalization in Quantum Field Theory and the Riemann-Hilbert Problem I: The Hopf Algebra Structure of Graphs and the Main Theorem: Renormalization in quantum field theory and the Riemann-Hilbert problem. I: The Hopf algebra structure of graphs and the main theorem

Authors: Dirk Kreimer Alain Connes

Source: Communications in Mathematical Physics. 210:249-273

Subject Terms: High Energy Physics - Theory, FOS: Physical sciences, Mathematical Physics (math-ph), 01 natural sciences, Hopf algebras (associative rings and algebras), Feynman graphs, Applications of functional analysis in quantum physics, Birkhoff decomposition of \(\gamma\), High Energy Physics - Theory (hep-th), Mathematics - Quantum Algebra, Applications of Lie groups to the sciences, explicit representations, FOS: Mathematics, Quantum Algebra (math.QA), 0101 mathematics, Quantum groups and related algebraic methods applied to problems in quantum theory, Feynman diagrams, Mathematical Physics

File Description: application/xml

Access URL: http://arxiv.org/pdf/hep-th/9912092
http://arxiv.org/abs/hep-th/9912092
https://arxiv.org/abs/hep-th/9912092
https://arxiv.org/pdf/hep-th/9912092
http://ui.adsabs.harvard.edu/abs/2000CMaPh.210..249C/abstract
https://inspirehep.net/literature/511486
https://link.springer.com/article/10.1007%2Fs002200050779
http://www.alainconnes.org/docs/RH1.pdf
https://rd.springer.com/article/10.1007/s002200050779
https://arxiv.org/pdf/hep-th/9912092

Star products and quantum groups in quantum mechanics and field theory: Star products and quantum groups in quantum mechanics and field theory.

Authors: Allen C. Hirshfeld Peter Henselder

Source: Annals of Physics. 308:311-328

Subject Terms: deformation quantization, time-ordered product, Deformation quantization, star products, Weyl transform, twisted product, 0103 physical sciences, Quantum groups (quantized enveloping algebras) and related deformations, Geometry and quantization, symplectic methods, Quantum groups and related algebraic methods applied to problems in quantum theory, 01 natural sciences, combinatorics of Feynman graphs, Hopf algebras (associative rings and algebras)

File Description: application/xml

Access URL: https://ui.adsabs.harvard.edu/abs/2003AnPhy.308..311H/abstract
http://www.sciencedirect.com/science/article/pii/S0003491603001441
https://www.sciencedirect.com/science/article/pii/S0003491603001441

Prime and Primitive Ideals in Graded Deformations of Algebraic Quantum Groups at Roots of Unity: Prime and primitive ideals in graded deformations of algebraic quantum groups at roots of unity.

Authors: Edward S. Letzter

Source: Algebras and Representation Theory. 6:47-70

Subject Terms: primitive ideals, prime ideals, algebraic quantum groups, 0101 mathematics, Quantum groups and related algebraic methods applied to problems in quantum theory, 01 natural sciences, Ring-theoretic aspects of quantum groups, Ideals in associative algebras

File Description: application/xml

Access URL: https://zbmath.org/1901410
https://doi.org/10.1023/a:1022387504911
https://link.springer.com/content/pdf/10.1023/A:1022387504911.pdf
https://link.springer.com/article/10.1023/A:1022387504911

CONFORMAL FIELD THEORY, QUANTUM GROUP AND BERRY PHASE: Conformal field theory, quantum group and Berry phase.

Authors: Pratul Bandyopadhyay

Source: International Journal of Modern Physics A. 15:1415-1434

Subject Terms: 0103 physical sciences, Differential geometric methods, including holonomy, Berry and Hannay phases, Aharonov-Bohm effect, etc. in quantum theory, Quantum groups and related algebraic methods applied to problems in quantum theory, 01 natural sciences, Two-dimensional field theories, conformal field theories, etc. in quantum mechanics

File Description: application/xml

Access URL: https://www.worldscientific.com/doi/abs/10.1142/S0217751X0000063X
https://ui.adsabs.harvard.edu/abs/2000IJMPA..15.1415B/abstract

Exponential Equations Related to the Quantum ?ax + b? Group: Exponential equations related to the quantum `\(ax+b\)' group

Authors: Małgorzata Rowicka

Source: Communications in Mathematical Physics. 244:419-453

Subject Terms: measurable unitary-operator valued functions, 0103 physical sciences, Quantizations, deformations for selfadjoint operator algebras, Noncommutative differential geometry, unbounded-selfadjoint-operator pairs, 0101 mathematics, commutation rules, Quantum groups and related algebraic methods applied to problems in quantum theory, 01 natural sciences

File Description: application/xml

Access URL: https://zbmath.org/2034803
https://doi.org/10.1007/s00220-003-1010-6
https://ui.adsabs.harvard.edu/abs/2004CMaPh.244..419R/abstract
https://researchexperts.utmb.edu/en/publications/exponential-equations-related-to-the-quantum-ax-b-group
https://rd.springer.com/article/10.1007/s00220-003-1010-6
https://utmb.influuent.utsystem.edu/en/publications/exponential-equations-related-to-the-quantum-ax-b-group
https://link.springer.com/content/pdf/10.1007%2Fs00220-003-1010-6.pdf