Universal Enveloping Algebras of Braided m-Lie Algebras
Lingwei Guo, Shouchuan Zhang, Jieqiong He
TL;DR
This paper develops the theory of universal enveloping algebras for braided m-Lie algebras, proving a PBW theorem using combinatorics on words, thus extending classical Lie algebra results to a braided setting.
Contribution
It introduces a construction of universal enveloping algebras for braided m-Lie algebras and establishes a PBW theorem in this context, which is a novel extension of classical Lie theory.
Findings
Universal enveloping algebras constructed for braided m-Lie algebras
PBW theorem proven using combinatorics on words
Extension of classical Lie algebra results to braided structures
Abstract
Universal enveloping algebras of braided m-Lie algebras and PBW theorem are obtained by means of combinatorics on words.
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Taxonomy
TopicsAlgebraic structures and combinatorial models · Advanced Topics in Algebra · Homotopy and Cohomology in Algebraic Topology