1991•Journal of Mathematical PhysicsRequires access

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

Susumu Ôkubo

Abstract

It has been shown that any real irreducible representation of any C(p,q) can be, in principle, explicitly constructed inductively. The relation between the pseudo-octonion algebra and C(8,0) as well as C(0,8) has also been investigated in some detail. Finally, dimensions of the real spinor representations of SO(p,q) have been studied.

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Key concepts: Clifford algebra, Algebra over a field, Spinor, Mathematics, Representation (politics), Irreducible representation, Pure mathematics, Relation (database)