Centers and Azumaya loci for finite W-algebras in positive characteristic

B. I.N. Shu; Yang Zeng

doi:10.1017/S0305004121000414

Centers and Azumaya loci for finite W-algebras in positive characteristic

B. I.N. Shu
, Yang Zeng

数学科学学院

Nanjing Audit University

科研成果: 期刊稿件 › 文章 › 同行评审

2 引用（Scopus）

摘要

In this paper, we study the center Z of the finite W-algebra associated with a semi-simple Lie algebra over an algebraically closed field of characteristic p≫0, and an arbitrarily given nilpotent element We obtain an analogue of Veldkamp's theorem on the center. For the maximal spectrum Specm(Z), we show that its Azumaya locus coincides with its smooth locus of smooth points. The former locus reflects irreducible representations of maximal dimension for.

源语言	英语
页（从-至）	35-66
页数	32
期刊	Mathematical Proceedings of the Cambridge Philosophical Society
卷	173
期	1
DOI	https://doi.org/10.1017/S0305004121000414
出版状态	已出版 - 24 7月 2022

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Centers and Azumaya loci for finite W-algebras in positive characteristic

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