Classification of simple Harish-Chandra modules over the generalized Witt algebras

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arxiv 2308.02822 v1 pith:DGBMFOHZ submitted 2023-08-05 math.RT

Rencai Lu , Yaohui Xue This is my paper

classification math.RT

keywords simplealgebrasgeneralizedharish-chandramoduleswittclassificationclassify

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In this paper, we classify simple Harish-Chandra modules over simple generalized Witt algebras.

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Cuspidal modules over Superconformal algebras of rank \geq 1
math.RT 2025-05 conditional novelty 7.0 of 10

Cuspidal modules over all known superconformal algebras of rank at least one are classified, with the central charge vanishing except for one central extension of K(4).