Nilpotent centralizers and good filtrations

Autor: Achar, Pramod N., Hardesty, William
Rok vydání: 2021
Předmět:
Druh dokumentu: Working Paper
Popis: 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.
Comment: 14 pages, 7 tables
Databáze: arXiv