On certain tilting modules for SL2

被引：1
|
作者：
Martin, Samuel
机构：
来源：
JOURNAL OF ALGEBRA | 2018年 / 506卷
基金：
英国工程与自然科学研究理事会;
关键词：
Representation theory; Algebraic groups; SL2; Tilting modules; Induced module; Weyl module; Positive characteristic;
D O I：
10.1016/j.jalgebra.2018.03.034
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
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.
引用
收藏
页码：397 / 408
页数：12
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