Clifford Algebras and Spinors for Arbitrary Braids

Details Clifford Algebras and Spinors for Arbitrary Braids Clifford Algebras and Spinors for Arbitrary Braids

1994-12-19

arxiv.org/abs/q-alg/9412002v1

Mathematics

Quantum Algebra

8 pages (AMS-LaTeX)

Scientific paper

General braided counterparts of classical Clifford algebras are introduced and investigated. Braided Clifford algebras are defined as Chevalley-Kahler deformations of the corresponding braided exterior algebras. Analogs of the spinor representations are studied, generalizing classical Cartan's approach. It is shown that, under certain assumptions concerning the braiding, the spinor representation is faithful and irreducible, as in the classical theory.

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