Białynicki-Birula decomposition for reductive groups in positive characteristic

2020/06/03 by Joachim Jelisiejew, Jelisiejew, Joachim, Łukasz Sienkiewicz +1
Mathematics · #14L30 #20G05 (Secondary) #20G15 (Primary) 14D22 #Advanced Algebra and Geometry #Advanced Topics in Algebra #Algebraic Geometry (math.AG) #Algebraic structures and combinatorial models #FOS: Mathematics #Representation Theory (math.RT)

paper · pdf · doi:10.48550/arxiv.2006.02315

openalex publication_date 2020/06/03 · openalex created_date 2022/07/26 · openalex updated_date 2026/07/28

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.

Related

• Białynicki-Birula decomposition for reductive groups
• Cartan-Iwahori-Matsumoto decompositions for reductive groups
• A correspondence between a class of monoids and self-similar group actions II
• Sects
• Cancellative conjugation semigroups and monoids