Real representations of finite Clifford algebras. II. Explicit construction and pseudo-octonion

DOI10.1063/1.529278zbMath0748.15027OpenAlexW2028584576MaRDI QIDQ3980895

Susumu Okubo

Publication date: 26 June 1992

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

Full work available at URL: https://doi.org/10.1063/1.529278

zbMATH Keywords

Clifford algebraconstructionirreducible real representationpseudo- octonion algebra\(C(8,0)\)

Mathematics Subject Classification ID

Clifford algebras, spinors (15A66)

Related Items (15)

UNIFIED OCTONIONIC REPRESENTATION OF THE 10–13 DIMENSIONAL CLIFFORD ALGEBRA ⋮ OCTONIONS AND SUPER-LIE ALGEBRA ⋮ An approach by representation of algebras for decoherence-free subspaces ⋮ A special irreducible matrix representation of the real Clifford algebra C(3,1) ⋮ Clifford algebra-parametrized octonions and generalizations ⋮ Explicit matrix realization of Clifford algebras ⋮ A canonical form for relativistic dynamic equation ⋮ One-dimensional structures behind twisted and untwisted superYang-Mills theory ⋮ Universal similarity factorization equalities over generalized Clifford algebras ⋮ Classification of irreps and invariants of the \(N\)-extended supersymmetric quantum mechanics ⋮ On alphabetic presentations of Clifford algebras and their possible applications ⋮ On the classification of N-extended supersymmetric quantum mechanical systems ⋮ Universal similarity factorization equalities over real Clifford algebras ⋮ Division algebras, extended supersymmetries and applications ⋮ Generalized space-time supersymmetries, division algebras and octonionic M-theory

Cites Work

• Composition algebras and their automorphisms
• Matrix representations of Clifford algebras
• Some new classes of division algebras
• Division algebras, (pseudo)orthogonal groups and spinors
• A general method of generating and classifying Clifford algebras
• Symmetries of Baryons and Mesons
• Algebras with nondegenerate associative symmetric bilinear forms permitting composition
• Real representations of finite Clifford algebras. I. Classification

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