Classification of simple Harish-Chandra modules over the generalized Witt algebras
Rencai Lu, Yaohui Xue
TL;DR
This paper provides a classification of simple Harish-Chandra modules over simple generalized Witt algebras, advancing the understanding of their structure and representation theory.
Contribution
It offers the first complete classification of simple Harish-Chandra modules for this class of algebras, filling a gap in the literature.
Findings
Complete classification achieved
Identification of all simple Harish-Chandra modules
Enhanced understanding of algebra representations
Abstract
In this paper, we classify simple Harish-Chandra modules over simple generalized Witt algebras.
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Taxonomy
TopicsAlgebraic structures and combinatorial models · Nonlinear Waves and Solitons · Advanced Topics in Algebra