Bia{\l}ynicki-Birula decomposition for reductive groups in positive characteristic
Algebraic Geometry
2021-02-24 v3 Representation Theory
Abstract
We prove the existence of Bialynicki-Birula decomposition for Kempf monoids, which is a large class that contains for example monoids with reductive unit group in all characteristics. This extends the existence statements from previous works of Alper-Hall-Rydh and Jelisiejew-Sienkiewicz.
Keywords
Cite
@article{arxiv.2006.02315,
title = {Bia{\l}ynicki-Birula decomposition for reductive groups in positive characteristic},
author = {Joachim Jelisiejew and Łukasz Sienkiewicz},
journal= {arXiv preprint arXiv:2006.02315},
year = {2021}
}
Comments
v2: author accepted manuscript for Journal de Math\'ematiques Pures et Appliqu\'ees