The radicals of (Braided) Lie algebras
Lingwei Guo, Shouchuan Zhang, Junqin Li
TL;DR
This paper develops a comprehensive theory of radicals in Lie algebras, specifically identifying Baer radicals in untwisted affine Lie algebras, advancing the understanding of their structural properties.
Contribution
It introduces a general framework for radicals in Lie algebras and explicitly determines Baer radicals for untwisted affine Lie algebras, a novel contribution.
Findings
Established the general theory of radicals in Lie algebras
Identified Baer radicals in untwisted affine Lie algebras
Enhanced understanding of the structure of affine Lie algebras
Abstract
The general theory of the radicals of Lie algebras are established. Baer radicals of untwisted affine Lie algebras are found.
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Taxonomy
TopicsAlgebraic structures and combinatorial models · Advanced Topics in Algebra · Nonlinear Waves and Solitons