On certain tilting modules for SL2

JOURNAL OF ALGEBRA

卷:506

Article

关键词: Representation theory;    Algebraic groups;    SL2;    Tilting modules;    Induced module;    Weyl module;    Positive characteristic;   

DOI  :  10.1016/j.jalgebra.2018.03.034

来源: Elsevier

【 摘 要 】

We give a complete picture of when the tensor product of an induced module and a Weyl module is a tilting module for the algebraic group SL2 over an algebraically closed field of characteristic p. Whilst the result is recursive by nature, we give an explicit statement in terms of the p-adic expansions of the highest weight of each module. (C) 2018 The Author. Published by Elsevier Inc.

【 授权许可】

Free