A general method of generating and classifying Clifford algebras

DOI10.1063/1.527122zbMath0601.15019OpenAlexW2019048726MaRDI QIDQ3735880

Deming Li, Horacio A. Farach, Charles P. jun. Poole

Publication date: 1986

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.527122

zbMATH Keywords

faithful representationequivalent and inequivalent representationgenerating higher order algebra

Mathematics Subject Classification ID

Related Items (7)

Real representations of finite Clifford algebras. II. Explicit construction and pseudo-octonion ⋮ Idempotent structure of Clifford algebras ⋮ Extensions of the general method of generating Clifford algebras and comparisons with various existing methods ⋮ The design of linear algebra and geometry ⋮ The metric of a space and quadratic algebras ⋮ Quaternionic Kähler manifolds, constrained instantons and the magic square. I. ⋮ Universal similarity factorization equalities over real Clifford algebras

Cites Work

• Physical algebras in four dimensions. I: The Clifford algebra in Minkowski spacetime
• Physical algebras in four dimensions. II: The Majorana algebra
• Clifford modules
• The theory of spinors
• The relationship between finite groups and Clifford algebras
• N-dimensional spinors: Their properties in terms of finite groups
• Realization, extension, and classification of certain physically important groups and algebras
• Electromagnetism and the holomorphic properties of spacetime
• On the classification of Clifford algebras and their relation to spinors in n dimensions
• Spinors in n Dimensions

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