Clifford Algebras and Spinors for Arbitrary Braids

1994/12/19 by Mico Durdevic, Mićo Đurđević, Durdevic, Mico +2
Mathematics · Physics and Astronomy · #Advanced Operator Algebra Research #Algebraic and Geometric Analysis #FOS: Mathematics #Noncommutative and Quantum Gravity Theories #Quantum Algebra (math.QA) #math.QA #q-alg

paper · pdf · doi:10.48550/arxiv.q-alg/9412002

8 pages (AMS-LaTeX)

arxiv created 1994/12/19 · openalex publication_date 1994/12/19 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

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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