Algebras with three anticommuting elements. I. Spinors and quaternions

DOI10.1063/1.524775zbMath0472.15014OpenAlexW2041665432MaRDI QIDQ3926744

Yehiel Ilamed, Nikos A. Salingaros

Publication date: 1981

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

Full work available at URL: https://doi.org/10.1063/1.524775

zbMATH Keywords

Clifford algebraalgebras with three anticommuting elementsspinors and quaternions

Mathematics Subject Classification ID

Special relativity (83A05) Clifford algebras, spinors (15A66)

Related Items

Quadratic alternative algebras, A construction relating Clifford algebras and Cayley–Dickson algebras, The metric of a space and quadratic algebras, A reformulation of von Neumann's postulates on quantum measurement by using two theorems in Clifford algebra, Algebras with three anticommuting elements. II. Two algebras over a singular field, Electromagnetism and the holomorphic properties of spacetime, On the classification of Clifford algebras and their relation to spinors in n dimensions, Physical algebras in four dimensions. I: The Clifford algebra in Minkowski spacetime, Physical algebras in four dimensions. II: The Majorana algebra, A generalization of the construction of Ilamed and Salingaros, The exponential mapping in Clifford algebras, The Clifford algebra of differential forms

Cites Work

• Clifford modules
• Realization, extension, and classification of certain physically important groups and algebras
• Algebras with three anticommuting elements. II. Two algebras over a singular field
• Application of Spinor Analysis to the Maxwell and Dirac Equations
• Spinors in n Dimensions