2005/03/31 by G. Lusztig, Lusztig, G.
Engineering · Materials Science · Mathematics · #Aluminum Alloys Composites Properties #FOS: Mathematics #Material Properties and Applications #Material Science and Thermodynamics #Representation Theory (math.RT) #math.RT
paper · pdf · doi:10.48550/arxiv.math/0503739
39 pages
openalex publication_date 2005/03/31 · arxiv created 2005/04/03 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We make a study of unipotent elements in a connected reductive group over an algebraically closed field with emphasis on the case where the characteristic is a bad prime. We try to see how much of the theory of Dynkin-Kostant extends to this case. We also study the variety of Borel subgroups containing a unipotent element and prove a purity property for its cohomology in certain cases in bad characteristic.