On the smoothness of centralizers in reductive groups.
From MaRDI portal
Publication:2846982
DOI10.1090/S0002-9947-2012-05745-XzbMATH Open1298.20057arXiv1009.0354OpenAlexW2963780553MaRDI QIDQ2846982
Author name not available (Why is that?)
Publication date: 4 September 2013
Published in: (Search for Journal in Brave)
Abstract: Let G be a connected reductive algebraic group over an algebraically closed field k. In a recent paper, Bate, Martin, R"ohrle and Tange show that every (smooth) subgroup of G is separable provided that the characteristic of k is very good for G. Here separability of a subgroup means that its scheme-theoretic centralizer in G is smooth. Serre suggested extending this result to arbitrary, possibly non-smooth, subgroup schemes of G. The aim of this note is to prove this more general result. Moreover, we provide a condition on the characteristic of k that is necessary and sufficient for the smoothness of all centralizers in G. We finally relate this condition to other standard hypotheses on connected reductive groups.
Full work available at URL: https://arxiv.org/abs/1009.0354
No records found.
No records found.
This page was built for publication: On the smoothness of centralizers in reductive groups.
Report a bug (only for logged in users!)Click here to report a bug for this page (MaRDI item Q2846982)
