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

School of Mathematical Sciences

Nanjing Audit University

Research output: Contribution to journal › Article › peer-review

1 Scopus citations

Abstract

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.

Original language	English
Pages (from-to)	35-66
Number of pages	32
Journal	Mathematical Proceedings of the Cambridge Philosophical Society
Volume	173
Issue number	1
DOIs	https://doi.org/10.1017/S0305004121000414
State	Published - 24 Jul 2022

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

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