Search Results - Quantum theory Groups and algebras in quantum theory Groups and algebras in quantum theory. msc

Foundations of Quantum Theory : From Classical Concepts to Operator Algebras

Authors: Klaas Landsman

Resource Type: eBook.

Subjects: Algebra, Mathematical physics, Physics, Matrix theory, Quantum theory

Categories: SCIENCE / Physics / Quantum Theory, MATHEMATICS / Algebra / Linear, SCIENCE / Physics / Mathematical & Computational, SCIENCE / Physics / General, SCIENCE / Philosophy & Social Aspects

Scattering Amplitudes in Quantum Field Theory

Authors: Simon Badger Johannes Henn Jan Christoph Plefka et al.

Resource Type: eBook.

Subjects: Scattering amplitude (Nuclear physics), Quantum field theory

Categories: SCIENCE / Physics / Quantum Theory, SCIENCE / Physics / Mathematical & Computational, SCIENCE / Physics / Nuclear

Fundamental Mathematical Structures of Quantum Theory: Spectral Theory, Foundational Issues, Symmetries, Algebraic Formulation

Authors: Moretti, Valter

Subject Terms: Spectral Theory, Mathematical Foundations of Quantum Theory, Algebraic Quantum Theory, Operator Theory, Operator Algebras

File Description: application/pdf

Access URL: https://www.springer.com/it/book/9783030183455
https://doi.org/10.1007/978-3-030-18346-2
https://hdl.handle.net/11572/217308

Hall algebras and quantum symmetric pairs I: Foundations.

Authors: Lu, Ming Wang, Weiqiang

Source: Proceedings of the London Mathematical Society; Jan2022, Vol. 124 Issue 1, p1-82, 82p

Subject Terms: ALGEBRA, FINITE groups, GROUP algebras, QUANTUM groups

Multi-leg integrable ladder models

Authors: Arnaudon, Daniel Sedrakyan, Ara Sedrakyan, Tigran et al.

Contributors: Arnaudon, Daniel Sedrakyan, Ara Sedrakyan, Tigran et al.

Source: Nuclear Physics B. 676:615-636

Subject Terms: High Energy Physics - Theory, [PHYS.MPHY]Physics [physics]/Mathematical Physics [math-ph], Condensed Matter (cond-mat), FOS: Physical sciences, Condensed Matter, 75.10.Pq, Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics, 01 natural sciences, 03.65.Fd, Mathematics - Quantum Algebra, 0103 physical sciences, PACS: 02.20.Uw, FOS: Mathematics, MSC: 81R50, Quantum Algebra (math.QA), Quantum equilibrium statistical mechanics (general), Chaînes de spins, coupled Yang-Baxter equations, 0101 mathematics, Exactly solvable models, Bethe ansatz, Quantum groups and related algebraic methods applied to problems in quantum theory, integrable spin chains, [PHYS.HTHE]Physics [physics]/High Energy Physics - Theory [hep-th], 17B37, Modèles intégrables, High Energy Physics - Theory (hep-th), [MATH.MATH-QA]Mathematics [math]/Quantum Algebra [math.QA], inhomogeneous periodic anisotropy-parameter disposition

File Description: application/xml

Access URL: http://hal.archives-ouvertes.fr/docs/00/02/73/36/PDF/n-leg_v2.pdf
http://arxiv.org/abs/hep-th/0210087
http://ui.adsabs.harvard.edu/abs/2004NuPhB.676..615A/abstract
https://hal.archives-ouvertes.fr/hal-00010126
https://arxiv.org/abs/hep-th/0210087
https://experts.umn.edu/en/publications/multi-leg-integrable-ladder-models
https://www.sciencedirect.com/science/article/pii/S055032130300974X
https://arxiv.org/pdf/hep-th/0210087v1

R -matrix presentation for super-Yangians Y(osp(m|2n)): \(R\)-matrix presentation for super-Yangians \(Y(\text{osp}(m|2n))\).

Authors: Arnaudon, Daniel Avan, Jean Crampé, Nicolas et al.

Contributors: Arnaudon, Daniel Avan, Jean Crampé, Nicolas et al.

Source: Journal of Mathematical Physics. 44:302-308

Subject Terms: [PHYS.MPHY]Physics [physics]/Mathematical Physics [math-ph], FOS: Physical sciences, Yangien, Quantum groups (quantized enveloping algebras) and related deformations, Mathematical Physics (math-ph), [PHYS.MPHY] Physics [physics]/Mathematical Physics [math-ph], 17B37, 01 natural sciences, Matrice R, Mathematics - Quantum Algebra, 0103 physical sciences, FOS: Mathematics, MSC: 81R50, Quantum Algebra (math.QA), 81R50, 17B37, Quantum groups and related algebraic methods applied to problems in quantum theory, Mathematical Physics

File Description: application/xml

Access URL: http://arxiv.org/abs/math/0111325
https://zbmath.org/2122458
https://doi.org/10.1063/1.1525406
http://ui.adsabs.harvard.edu/abs/2003JMP....44..302A/abstract
https://aip.scitation.org/doi/full/10.1063/1.1525406
https://scitation.aip.org/content/aip/journal/jmp/44/1/10.1063/1.1525406
https://arxiv.org/pdf/math/0111325
https://arxiv.org/abs/math/0111325
https://hal.science/hal-00003184v1

Histories Distorted by Partial Isometries

Authors: Cho, Ilwoo

Source: J. Phys. Math. 3 (2011), 1-18

Subject Terms: 47L15, Graphs and abstract algebra, Quantum groups, Combinatorics For finite fields, Topological groupoids, 01 natural sciences, 05C25, 46N50, Topological groups, 0101 mathematics, Ring-theoretic aspects of quantum groups, 16T20, 22A22, 05C21, Functional analysis, Operator theory, 81Q12, Graph theory, Non-selfadjoint operator theory, 47L90, Hopf algebras, Quantum theory, Operator algebras with symbol structure, 47L75, Flows in graphs, Associative rings and algebras

File Description: application/pdf

Access URL: https://projecteuclid.org/journals/journal-of-physical-mathematics/volume-3/issue-none/Histories-Distorted-by-Partial-Isometries/10.4303/jpm/P110301.pdf
https://www.ashdin.com/journals/JPM/P110301.aspx
http://www.ashdin.com/journals/JPM/P110301.aspx
https://projecteuclid.org/download/pdf_1/euclid.jpm/1359468396
http://projecteuclid.org/download/pdf_1/euclid.jpm/1359468396
https://projecteuclid.org/euclid.jpm/1359468396
https://www.omicsonline.org/peer-reviewed/histories-distorted-by-partial-isometries-15099.html
http://projecteuclid.org/euclid.jpm/1359468396

Framization of Schur–Weyl duality and Yokonuma–Hecke type algebras

Authors: Lacabanne, Abel Poulain D’andecy, Loïc Laboratoire de Mathématiques Blaise Pascal (LMBP) et al.

Contributors: Lacabanne, Abel Poulain D’andecy, Loïc Laboratoire de Mathématiques Blaise Pascal (LMBP) et al.

Source: Annals of Representation Theory. 2:1-35

Subject Terms: framization, framed braid group, [MATH.MATH-QA] Mathematics [math]/Quantum Algebra [math.QA], [MATH.MATH-RT]Mathematics [math]/Representation Theory [math.RT], 20F36, Yokonuma-Hecke algebras, 20C08, 17B37, 20F36, Geometric Topology (math.GT), 17B37, Mathematics - Geometric Topology, [MATH.MATH-GT]Mathematics [math]/Geometric Topology [math.GT], Schur-Weyl duality, Mathematics - Quantum Algebra, [MATH.MATH-QA]Mathematics [math]/Quantum Algebra [math.QA], FOS: Mathematics, Quantum Algebra (math.QA), tied braid algebra, [MATH.MATH-RT] Mathematics [math]/Representation Theory [math.RT], Representation Theory (math.RT), MSC: 20C08, Mathematics - Representation Theory, [MATH.MATH-GT] Mathematics [math]/Geometric Topology [math.GT]

File Description: application/pdf

Access URL: http://arxiv.org/abs/2312.14796
https://hal.science/hal-04696279v1
https://doi.org/10.5802/art.20
https://hal.science/hal-04696279v1/document

The Higher-Rank Askey-Wilson Algebra and Its Braid Group Automorphisms

Authors: Crampé, Nicolas Frappat, Luc Poulain d'Andecy, Loïc et al.

Contributors: Crampé, Nicolas Frappat, Luc Poulain d'Andecy, Loïc et al.

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

Subject Terms: [MATH.MATH-QA] Mathematics [math]/Quantum Algebra [math.QA], FOS: Physical sciences, 33D45, Mathematical Physics (math-ph), 81R12, MSC 2020 : 16T10, Mathematics - Quantum Algebra, [MATH.MATH-QA]Mathematics [math]/Quantum Algebra [math.QA], Braid group, FOS: Mathematics, Quantum Algebra (math.QA), Representation Theory (math.RT), Askey–Wilson algebra, Mathematical Physics, Mathematics - Representation Theory

File Description: application/pdf

Access URL: http://arxiv.org/abs/2303.17677
https://cnrs.hal.science/hal-04178915v1
https://doi.org/10.3842/sigma.2023.077
https://cnrs.hal.science/hal-04178915v1/document

Random Walks on Finite Quantum Groups

Authors: Isabelle Baraquin Laboratoire de Mathématiques de Besançon (UMR 6623) (LMB) Centre National de la Recherche Scientifique (CNRS)-Université de Franche-Comté (UFC) et al.

Contributors: Isabelle Baraquin Laboratoire de Mathématiques de Besançon (UMR 6623) (LMB) Centre National de la Recherche Scientifique (CNRS)-Université de Franche-Comté (UFC) et al.

Source: Journal of Theoretical Probability. 33:1715-1736

Subject Terms: Sekine quantum groups, [MATH.MATH-OA]Mathematics [math]/Operator Algebras [math.OA], Probability (math.PR), representation theory, central idempotent state, finite quantum group, 81R50, 2010 MSC: 46L53, Mathematics - Quantum Algebra, [MATH.MATH-QA]Mathematics [math]/Quantum Algebra [math.QA], FOS: Mathematics, Quantum Algebra (math.QA), 20G42, convergence of random walks, 60B15, Mathematics - Probability

Access URL: http://arxiv.org/pdf/1812.06862
http://arxiv.org/abs/1812.06862
http://ui.adsabs.harvard.edu/abs/2018arXiv181206862B/abstract
https://link.springer.com/content/pdf/10.1007/s10959-019-00916-x.pdf
https://link.springer.com/article/10.1007/s10959-019-00916-x

Bases of Quantum Group Algebras in Terms of Lyndon Words

Authors: Valetov, Eremey

Subject Terms: Mathematics - Quantum Algebra, FOS: Mathematics, Quantum Algebra (math.QA), Group Theory (math.GR), 0101 mathematics, Mathematics - Group Theory, 01 natural sciences

Access URL: http://arxiv.org/abs/2001.10435

The hidden quantum group of the eight-vertex free fermion model: q-Clifford algebras

Authors: Germán Sierra Cesar Gomez R. Cuerno et al.

Source: e-Archivo. Repositorio Institucional de la Universidad Carlos III de Madrid
Universidad Carlos III de Madrid (UC3M)
instname

Subject Terms: High Energy Physics - Theory, [MSC] Statistical mechanics, structure of matter: Exactly solvable models, High Energy Physics - Theory (hep-th), Matemáticas, [MSC] Quantum groups (quantized enveloping algebras) and related deformations, 0103 physical sciences, Exactly solvable models [[MSC] Statistical mechanics, structure of matter], FOS: Physical sciences, Bethe ansatz, [MSC] Quantum groups and related algebraic methods, 0101 mathematics, 01 natural sciences

File Description: application/pdf

Access URL: https://e-archivo.uc3m.es/bitstream/10016/7151/1/hidden_cuerno_plb_1993_ps.pdf
http://arxiv.org/abs/hep-th/9302089
https://hdl.handle.net/10016/7151
http://hdl.handle.net/10016/7151
https://www.doi.org/10.1016/0370-2693(93)90192-K
http://www.sciencedirect.com/science/article/pii/037026939390192K
https://e-archivo.uc3m.es/bitstream/10016/7151/1/hidden_cuerno_plb_1993_ps.pdf
https://gisc.uc3m.es/~cuerno/papers/plb_307_1993.pdf
https://ui.adsabs.harvard.edu/abs/1993PhLB..307...56C/abstract
https://www.sciencedirect.com/science/article/pii/037026939390192K
https://arxiv.org/abs/hep-th/9302089

Generalized q-Onsager Algebras and Boundary Affine Toda Field Theories

Authors: Baseilhac, Pascal Belliard, S. Belliard, Samuel et al.

Contributors: Baseilhac, Pascal Belliard, S. Belliard, Samuel et al.

Source: Letters in Mathematical Physics. 93:213-228

Subject Terms: High Energy Physics - Theory, Nonlinear Sciences - Exactly Solvable and Integrable Systems, Statistical Mechanics (cond-mat.stat-mech), [PHYS.MPHY]Physics [physics]/Mathematical Physics [math-ph], FOS: Physical sciences, Mathematical Physics (math-ph), [PHYS.MPHY] Physics [physics]/Mathematical Physics [math-ph], 16. Peace & justice, 81U15, 01 natural sciences, Boundary affine Toda field theory, High Energy Physics - Theory (hep-th), 81T40, 81R10, q−Onsager algebra, 0103 physical sciences, MSC: 81R50, Exactly Solvable and Integrable Systems (nlin.SI), 0101 mathematics, Quantum group symmetry, Mathematical Physics, Condensed Matter - Statistical Mechanics

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Access URL: http://arxiv.org/pdf/0906.1215v1.pdf
http://arxiv.org/abs/0906.1215
https://hal.archives-ouvertes.fr/hal-00398665
https://ui.adsabs.harvard.edu/abs/2010LMaPh..93..213B/abstract
https://www.arxiv-vanity.com/papers/0906.1215/
https://arxiv.org/pdf/0906.1215
https://hal.archives-ouvertes.fr/hal-00398665/document
https://link.springer.com/article/10.1007%2Fs11005-010-0412-6
https://hal.science/hal-00398665v1
https://hal.science/hal-00398665v1/document
https://doi.org/10.1007/s11005-010-0412-6

Induced Representations of Affine Hecke Algebras and Canonical Bases of Quantum Groups

Authors: Leclerc, B. Nazarov, M. Thibon, Jean-Yves

Contributors: Leclerc, B. Nazarov, M. Thibon, Jean-Yves

Source: Studies in Memory of Issai Schur ISBN: 9781461265870

Subject Terms: [INFO.INFO-CL] Computer Science [cs]/Computation and Language [cs.CL], Mathematics - Quantum Algebra, FOS: Mathematics, Mathematics - Combinatorics, Quantum Algebra (math.QA), Combinatorics (math.CO), Representation Theory (math.RT), MSC 17B 20C 05E, 0101 mathematics, 01 natural sciences, Mathematics - Representation Theory

Access URL: http://arxiv.org/pdf/math/0011074
http://arxiv.org/abs/math/0011074
https://link.springer.com/10.1007/978-1-4612-0045-1_6
https://arxiv.org/pdf/math/0011074
https://link.springer.com/chapter/10.1007/978-1-4612-0045-1_6
https://arxiv.org/abs/math/0011074
https://rd.springer.com/chapter/10.1007/978-1-4612-0045-1_6
http://ui.adsabs.harvard.edu/abs/2000math.....11074L/abstract
https://hal.science/hal-00622700v1

The HOMFLY-PT polynomials of sublinks and the Yokonuma–Hecke algebras

Authors: Poulain d'Andecy, Loïc Wagner, Emmanuel université de Bourgogne, IMB et al.

Contributors: Poulain d'Andecy, Loïc Wagner, Emmanuel université de Bourgogne, IMB et al.

Source: Proceedings of the Royal Society of Edinburgh: Section A Mathematics. 148:1269-1278

Subject Terms: 20F36: Braid groups, 4. Education, Yokonuma-Hecke algebras, Geometric Topology (math.GT), Linking numbers, 01 natural sciences, Artin groups, Mathematics - Geometric Topology, MSC: Primary 57M27: Invariants of knots and 3-manifolds Secondary 20C08: Hecke algebras and their representations, Markov traces, [MATH.MATH-GT]Mathematics [math]/Geometric Topology [math.GT], Mathematics - Quantum Algebra, FOS: Mathematics, 57M25: Knots and links in $S^3$, Quantum Algebra (math.QA), Representation Theory (math.RT), 0101 mathematics, Mathematics - Representation Theory, [MATH.MATH-GT] Mathematics [math]/Geometric Topology [math.GT]

Access URL: http://arxiv.org/pdf/1606.00237
http://arxiv.org/abs/1606.00237
https://hal.archives-ouvertes.fr/hal-01962477
https://www.arxiv-vanity.com/papers/1606.00237/
https://arxiv.org/pdf/1606.00237
https://www.cambridge.org/core/journals/proceedings-of-the-royal-society-of-edinburgh-section-a-mathematics/article/homflypt-polynomials-of-sublinks-and-the-yokonumahecke-algebras/14931F4351F87EC696DF320FD7AB6395

Mapping class group representations from non-semisimple TQFTs

Authors: Nathan Geer Ingo Runkel Bertrand Patureau-Mirand et al.

Contributors: Nathan Geer Ingo Runkel Bertrand Patureau-Mirand et al.

Source: Communications in Contemporary Mathematics. 25

Subject Terms: High Energy Physics - Theory, FOS: Physical sciences, 01 natural sciences, Mathematics - Geometric Topology, 510 Mathematics, 2604 Applied Mathematics, [MATH.MATH-GT]Mathematics [math]/Geometric Topology [math.GT], 57K16, Mathematics - Quantum Algebra, FOS: Mathematics, Quantum Algebra (math.QA), 0101 mathematics, 2600 General Mathematics, [MATH.MATH-GT] Mathematics [math]/Geometric Topology [math.GT], [MATH.MATH-QA] Mathematics [math]/Quantum Algebra [math.QA], [PHYS.HTHE]Physics [physics]/High Energy Physics - Theory [hep-th], Geometric Topology (math.GT), 17B37, 10123 Institute of Mathematics, MSC : 57K20, High Energy Physics - Theory (hep-th), [MATH.MATH-QA]Mathematics [math]/Quantum Algebra [math.QA], [PHYS.HTHE] Physics [physics]/High Energy Physics - Theory [hep-th], 18M15

File Description: 2010.14852.pdf - application/pdf

Access URL: http://arxiv.org/pdf/2010.14852
http://arxiv.org/abs/2010.14852
https://hal.archives-ouvertes.fr/hal-02992280
https://www.worldscientific.com/doi/10.1142/S0219199721500917
https://hal.science/hal-02992280v1
https://doi.org/10.1142/s0219199721500917

Trace of powers of representations of finite quantum groups

Authors: Baraquin, Isabelle Laboratoire de Mathématiques de Besançon (UMR 6623) (LMB) Centre National de la Recherche Scientifique (CNRS)-Université de Franche-Comté (UFC) et al.

Contributors: Baraquin, Isabelle Laboratoire de Mathématiques de Besançon (UMR 6623) (LMB) Centre National de la Recherche Scientifique (CNRS)-Université de Franche-Comté (UFC) et al.

Source: Journal of Algebra and Its Applications. 19:2050124

Subject Terms: [MATH.MATH-OA]Mathematics [math]/Operator Algebras [math.OA], finite quantum groups, asymptotic * -distribution, representation theory, 81R5, 16. Peace & justice, 01 natural sciences, 2010 MSC: 20G42, Mathematics - Quantum Algebra, [MATH.MATH-QA]Mathematics [math]/Quantum Algebra [math.QA], FOS: Mathematics, Quantum Algebra (math.QA), 0101 mathematics

Access URL: http://arxiv.org/pdf/1811.00795
http://arxiv.org/abs/1811.00795
https://www.arxiv-vanity.com/papers/1811.00795/
https://www.worldscientific.com/doi/abs/10.1142/S0219498820501248

Quantum toroidal algebras and their representations

Authors: Hernandez, David Laboratoire de Mathématiques de Versailles (LMV) Université de Versailles Saint-Quentin-en-Yvelines (UVSQ)-Université Paris-Saclay-Centre National de la Recherche Scientifique (CNRS)

Contributors: Hernandez, David Laboratoire de Mathématiques de Versailles (LMV) Université de Versailles Saint-Quentin-en-Yvelines (UVSQ)-Université Paris-Saclay-Centre National de la Recherche Scientifique (CNRS)

Source: Selecta Mathematica. 14:701-725

Subject Terms: [MATH.MATH-RT]Mathematics [math]/Representation Theory [math.RT], Mathematics - Quantum Algebra, [MATH.MATH-QA]Mathematics [math]/Quantum Algebra [math.QA], FOS: Mathematics, Quantum Algebra (math.QA), MSC : 17B37 (17B67), Representation Theory (math.RT), 0101 mathematics, 17B37, 01 natural sciences, Mathematics - Representation Theory

Access URL: http://arxiv.org/pdf/0801.2397
http://arxiv.org/abs/0801.2397
https://core.ac.uk/display/1978036
https://webusers.imj-prg.fr/~david.hernandez/review5.pdf
https://link.springer.com/article/10.1007%2Fs00029-009-0502-4
https://dialnet.unirioja.es/servlet/articulo?codigo=6805859
http://www.cmls.polytechnique.fr/perso/hernandez/review5.pdf

Representations of Crossed Modules and Other Generalized Yetter-Drinfel’d Modules: Representations of crossed modules and other generalized Yetter-Drinfel'd modules

Authors: Lebed, Victoria Wagemann, Friedrich Laboratoire de Mathématiques Jean Leray (LMJL) et al.

Contributors: Lebed, Victoria Wagemann, Friedrich Laboratoire de Mathématiques Jean Leray (LMJL) et al.

Source: Applied Categorical Structures. 25:455-488

Subject Terms: Yetter-Drinfel'd module, Yang-Baxter equations, crossed module of racks, Yang-Baxter equation, 18D10, 2010 MSC: 16T25, 01 natural sciences, Hopf algebra, Leibniz algebra, 16T05, Monoidal, symmetric monoidal and braided categories, braided system, self-distributivity, Mathematics - Quantum Algebra, FOS: Mathematics, Quantum Algebra (math.QA), Algebraic Topology (math.AT), Category Theory (math.CT), Mathematics - Algebraic Topology, 0101 mathematics, Sets with a single binary operation (groupoids), Leibniz algebras, [MATH.MATH-CT]Mathematics [math]/Category Theory [math.CT], crossed module of groups, Hopf algebras and their applications, monoidal category, Mathematics - Category Theory, 17A32, 20N02, [MATH.MATH-AT]Mathematics [math]/Algebraic Topology [math.AT], crossed module of Lie algebras, [MATH.MATH-QA]Mathematics [math]/Quantum Algebra [math.QA], associator

File Description: application/xml

Access URL: http://arxiv.org/pdf/1509.03497
http://arxiv.org/abs/1509.03497
https://zbmath.org/6812675
https://doi.org/10.1007/s10485-015-9421-z
https://link.springer.com/content/pdf/10.1007%2Fs10485-015-9421-z.pdf
https://dblp.uni-trier.de/db/journals/acs/acs25.html#LebedW17
https://hal.archives-ouvertes.fr/hal-01197249
https://link.springer.com/article/10.1007%2Fs10485-015-9421-z
https://hal.archives-ouvertes.fr/hal-01197249/document

Decomposition Numbers and Canonical Bases: Decomposition numbers and canonical bases

Authors: Bernard Leclerc

Source: Algebras and Representation Theory. 3:277-287

Subject Terms: quantized Schur algebras, Modular representations and characters, Representations of finite groups of Lie type, Quantum groups (quantized enveloping algebras) and related deformations, 01 natural sciences, canonical bases, MSC 17B 20C, Hecke algebras and their representations, Fock space representations, Kac-Moody (super)algebras, extended affine Lie algebras, toroidal Lie algebras, decomposition numbers, Mathematics - Quantum Algebra, 0103 physical sciences, FOS: Mathematics, Quantum Algebra (math.QA), Representation Theory (math.RT), 0101 mathematics, Hecke algebras, Mathematics - Representation Theory

File Description: application/xml

Access URL: http://arxiv.org/abs/math/9902006
https://zbmath.org/1569450
https://doi.org/10.1023/a:1009984201999
https://arxiv.org/pdf/math/9902006
https://www.arxiv-vanity.com/papers/math/9902006/
https://link.springer.com/article/10.1023%2FA%3A1009984201999
http://ui.adsabs.harvard.edu/abs/1999math......2006L/abstract