2005/09/01 by François Digne, Jean Michel, Digne, François +1
Mathematics · #Advanced Algebra and Geometry #Advanced Combinatorial Mathematics #Algebraic Geometry and Number Theory #math.AG #math.RT #msc:20C33 #msc:20F36
paper · pdf · doi:10.48550/arxiv.math/0509011
arxiv created 2005/09/01 · arxiv updated 2009/12/01
This paper is a following to math.RT/0410454. For a finite group of Lie type we study the endomorphisms, commuting with the group action, of a Deligne-Lusztig variety associated to a regular element of the Weyl group. We state some general conjectures, in particular that the endomorphism algebra induced on the cohomology is a cyclotomic Hecke algebra, and prove them in some cases. On the way we also prove results on centralizers in braid groups.