A Tensor Product Factorization For Certain Tilting Modules

Details A Tensor Product Factorization For Certain Tilting Modules A Tensor Product Factorization For Certain Tilting Modules

2009-12-17

arxiv.org/abs/0912.3512v2

Communications in Algebra, 39:5 (2011), 1503-1509

Mathematics

Representation Theory

Modifications to an earlier versions have been made.

Scientific paper

Let G be a semisimple, simply connected linear algebraic group over an algebraically closed field k of characteristic p > 0. In a recent paper [4], 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.

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