Search Results - "Spinor spaces"

Unified 4D Spinor Space for Dirac and Weyl Spinors: A Vector-Sum Decomposition of the Dirac Spinor

Authors: KUNTMAN, M. A.

Subject Terms: Clifford algebra of spacetime, Dirac spinors, 4-component Weyl spinors, Extension of the Lorentz algebra, Spinor spaces, Left- and Right-Chiral Dirac Spinors, 4D spinor representations of the Lorentz group, Decomposition of a Dirac spinor, Lie Algebras

Left- and Right-Chiral Dirac Spinors In a Unified 4D Spinor Space and Their Vector-Sum Decomposition Into Four-Component Weyl Spinors

Authors: KUNTMAN, M. A.

Subject Terms: Clifford algebra of spacetime, Dirac spinors, 4-component Weyl spinors, Extension of the Lorentz algebra, Spinor spaces, Left- and Right-Chiral Dirac Spinors, 4D spinor representations of the Lorentz group, Decomposition of a Dirac spinor, Lie Algebras

Algebraic spinors in Dirac propagators as a directed random walk

Authors: Suemi Rodríguez-Romo

Source: Journal of Mathematical Physics. 34:4590-4600

Subject Terms: spinor spaces, Sums of independent random variables, random walks, 0103 physical sciences, Groups and algebras in quantum theory, directed random walk representation of the Dirac propagator, 01 natural sciences

File Description: application/xml

Access URL: https://zbmath.org/494241
https://doi.org/10.1063/1.530359
https://aip.scitation.org/doi/10.1063/1.530359
https://core.ac.uk/display/34180740
https://dial.uclouvain.be/pr/boreal/object/boreal:49517
https://ui.adsabs.harvard.edu/abs/1993JMP....34.4590R/abstract

Gravity in hyperspin manifolds

Authors: Shlomit Ritz Finkelstein

Source: International Journal of Theoretical Physics. 27:251-272

Subject Terms: spinor spaces, Applications of local differential geometry to the sciences, 0103 physical sciences, Bergmann manifold, chronometric tensor, hyperspin, Applications of global differential geometry to the sciences, Relativistic gravitational theories other than Einstein's, including asymmetric field theories, invariant actions, 01 natural sciences, hypergravity

File Description: application/xml

Access URL: http://ui.adsabs.harvard.edu/abs/1987PhDT........45F/abstract
https://link.springer.com/article/10.1007/BF00670753
https://link.springer.com/content/pdf/10.1007/BF00670753.pdf

Spinorial idempotents in the Clifford algebras of Minkowski spaces

Authors: Wojciech Kopczyński

Source: Journal of Mathematical Physics. 30:243-248

Subject Terms: orthochronous Lorentz group, Special relativity, Minkowski space, tensor algebra, orbits, 01 natural sciences, spinorial idempotents, Clifford algebras, spinors, algebraic spinor spaces, classification, General mathematical topics and methods in quantum theory, 0103 physical sciences, Clifford algebra, 10. No inequality, Clifford automorphism, orthogonal group

File Description: application/xml

Access URL: https://aip.scitation.org/doi/10.1063/1.528437
http://ui.adsabs.harvard.edu/abs/1989JMP....30..243K/abstract

Idempotent structure of Clifford algebras

Authors: Pertti Lounesto G. P. Wene

Source: Acta Applicandae Mathematicae. 9:165-173

Subject Terms: Clifford algebras, spinors, primitive idempotents, Spinor spaces, minimal left ideals, 0103 physical sciences, anti-involution, 0101 mathematics, 01 natural sciences, Clifford algebras

File Description: application/xml

Access URL: https://link.springer.com/article/10.1007/BF00047537

\(\mathbb Z_ 2\)-gradings of Clifford algebras and multivector structures.

Authors: Mosna, R. A. Miralles, D. Vaz, J. jun.

Subject Terms: Clifford algebras, spinors, Finite-dimensional groups and algebras motivated by physics and their representations, Grassmann algebra, spinor spaces, ''Super' (or ''skew') structure, vector space, \(\mathbb{Z}_2\)-gradings, multivector structure, String and superstring theories, other extended objects (e.g., branes) in quantum field theory, Clifford algebra, Exterior algebra, Grassmann algebras

File Description: application/xml

Access URL: https://zbmath.org/2072850

Study of the triality in arbitrary signature \((r,s)\) for standard real vector spaces \(E_{r,s}\) of dimension \(m=r+s=2k\)

Authors: Anglès, Pierre

Subject Terms: ''Super' (or ''skew') structure, Quadratic spaces, Clifford algebras, Exceptional (super)algebras, semi spinor spaces, trilinear forms, root systems, Jordan structures, exceptional Lie algebras, Clifford algebras, spinors, standard real vector spaces, triality automorphisms, weak triality principle, principle of triality, Spinor and twistor methods applied to problems in quantum theory, Simple, semisimple, reductive (super)algebras, semi-simple Lie algebras

File Description: application/xml

Access URL: https://zbmath.org/1187262