Spinor representations of Clifford algebras: A symbolic approach

DOI10.1016/S0010-4655(98)00118-0zbMath1001.15020OpenAlexW1987815189WikidataQ128017578 ScholiaQ128017578MaRDI QIDQ1125183

Rafał Abłamowicz

Publication date: 30 November 1999

Published in: Computer Physics Communications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0010-4655(98)00118-0

zbMATH Keywords

quadratic formClifford algebrasquaternionsbilinear formGrassmann algebraMaple packageprimitive idempotentminimal idealalgebra automorphismfaithful representationspinor representationgradation

Mathematics Subject Classification ID

Related Items (6)

On computing the determinant, other characteristic polynomial coefficients, and inverse in Clifford algebras of arbitrary dimension ⋮ Clifford algebra method for network expression, computation, and algorithm construction ⋮ Using periodicity theorems for computations in higher dimensional Clifford algebras ⋮ On the structure of ternary Clifford algebras and their irreducible representations ⋮ A note on the representation of Clifford algebras ⋮ \(CPT\) groups of spinor fields in de Sitter and anti-de Sitter spaces

Uses Software

• CLIFFORD
• Maple
• LUCY
• CLICAL

Cites Work

• Clifford algebra to geometric calculus. A unified language for mathematics and physics
• Monoïdes de Clifford et déformations d'algèbres de Clifford. (Clifford monoids and deformations of Clifford algebras)
• Spinors, twistors, Clifford algebras and quantum deformations. Proceedings of the 2nd Max Born symposium, Wrocław, Poland, September 24--27, 1992
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