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A generalization of Scheunert's Theorem on cocycle twisting of color Lie algebras

1997/03/02 by Horia C. Pop, Pop, Horia C.
Mathematics · #FOS: Mathematics #Mathematics and Applications #Quantum Algebra (math.QA) #math.QA #q-alg

paper · pdf · doi:10.48550/arxiv.q-alg/9703002

4 pages, LaTeX

arxiv created 1997/03/02 · openalex publication_date 1997/03/02 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

A classical theorem of Scheunert on G-color Lie algebras, asserts in the case of finitely generated abelian groups, one can twist the algebra structure and the commutation bicharacter on G by a 2-cocycle twist to a super-Lie G graded, algebra. In this paper we show that this can be done for an arbitrary group.

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