Nilpotent centralizers and good filtrations

2021/06/08 by Pramod N. Achar, Achar, Pramod N., William Hardesty +1
Mathematics · #Advanced Algebra and Geometry #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Mathematics #Representation Theory (math.RT)

paper · pdf · doi:10.48550/arxiv.2106.04374

openalex publication_date 2021/06/08 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Let G be a connected reductive group over an algebraically closed field \Bbbk. Under mild restrictions on the characteristic of \Bbbk, we show that any G-module with a good filtration also has a good filtration as a module for the reductive part of the centralizer of a nilpotent element x in its Lie algebra.

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