A Tensor Product Factorization for Certain Tilting Modules
Muhammad Fazeel Anwar · Communications in Algebra · 2011
Let G be a semisimple, simply connected linear algebraic group over an algebraically closed field k of characteristic p > 0. In a recent article [6 Doty , S. R. ( 2009 ). Factoring tilting modules for algebraic groups . Journal of Lie Theory 19 ( 3 ): 531 – 535 .[Web of Science ®] , [Google Scholar]], Doty introduces the notion of r-minuscule weight and exhibits a tensor product factorization of a corresponding tilting module under the assumption p ≥ 2h − 2, where h is the Coxeter number. We remove this restriction and consider some variations involving the more general notion of (p, r)-minuscule weights.