Braided modules and reflection equations

1996/06/25 by Dimitri Gurevich, D. Gurevich, Gurevich, D.
Mathematics · #Algebraic and Geometric Analysis #FOS: Mathematics #Quantum Algebra (math.QA) #math.QA #q-alg

paper · pdf · doi:10.48550/arxiv.q-alg/9606019

18 pp., Latex

arxiv created 1996/06/25 · openalex publication_date 1996/06/25 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We introduce a representation theory of q-Lie algebras defined earlier in \citeDG1, \citeDG2, formulated in terms of braided modules. We also discuss other ways to define Lie algebra-like objects related to quantum groups, in particular, those based on the so-called reflection equations. We also investigate the truncated tensor product of braided modules.

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