Nilpotent Centralizers and Good Filtrations

نویسندگان

چکیده

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

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ژورنال

عنوان ژورنال: Transformation Groups

سال: 2022

ISSN: ['1531-586X', '1083-4362']

DOI: https://doi.org/10.1007/s00031-022-09707-x