Multivectorial representation of Lie groups

DOI10.1007/BF00670711zbMath0717.22012OpenAlexW2001923712WikidataQ115394968 ScholiaQ115394968MaRDI QIDQ753975

Jaime Keller, Suemi Rodríguez-Romo

Publication date: 1991

Published in: International Journal of Theoretical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00670711

zbMATH Keywords

Lie groupsmultivector Clifford algebra representation

Mathematics Subject Classification ID

Applications of Lie groups to the sciences; explicit representations (22E70) Finite-dimensional groups and algebras motivated by physics and their representations (81R05) Clifford algebras, spinors (15A66)

Related Items (12)

Multivectorial generalization of the Cartan map ⋮ Geometric superalgebra and the Dirac equation ⋮ Clifford algebra, Lorentz transformation and unified field theory ⋮ \(C\ell^\ast_3\) invariance of the Dirac equation and electromagnetism ⋮ Spin geometry and grand unification ⋮ Nonlinear Bogolyubov-Valatin transformations: two modes ⋮ Isotopic liftings of Clifford algebras and applications in elementary particle mass matrices ⋮ Space-time geometry and some applications of Clifford algebra in physics ⋮ Flavor symmetry of the tensor Dirac theory ⋮ The geometric content of the electron theory. II: Theory of the electron from start ⋮ Grassmann calculus, pseudoclassical mechanics, and geometric algebra ⋮ A note on the representation of Clifford algebras

Cites Work

• Clifford algebra to geometric calculus. A unified language for mathematics and physics
• Generalization of the Dirac equation admitting isospin and color symmetries
• Metrics are Clifford algebra involutions
• Spinors and multivectors as a unified tool for spacetime geometry and for elementary particle physics
• A multivectorial Dirac equation
• Spinors and space-times
• Geometrical properties of the algebraic spinors for R3,1
• Some problems of spinor and algebraic spinor structures
• An Informal Introduction to Gauge Field Theories
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