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
相关论文
共 50 条
[21]   Dominant dimension and tilting modules [J].
Van C. Nguyen ;
Idun Reiten ;
Gordana Todorov ;
Shijie Zhu .
Mathematische Zeitschrift, 2019, 292 :947-973
[22]   Continuous limits of tilting modules [J].
Braga, Clezio Aparecido .
ALGEBRA AND DISCRETE MATHEMATICS, 2019, 28 (02) :184-194
[23]   Tilting modules and universal localization [J].
Huegel, Lidia Angeleri ;
Archetti, Maria .
FORUM MATHEMATICUM, 2012, 24 (04) :709-731
[24]   On Galois coverings and tilting modules [J].
Le Meur, Patrick .
JOURNAL OF ALGEBRA, 2008, 319 (12) :4961-4999
[25]   DIMENSIONS OF QUANTIZED TILTING MODULES [J].
Ostrik, Viktor .
MOSCOW MATHEMATICAL JOURNAL, 2001, 1 (01) :65-71
[26]   A note on relative tilting modules [J].
Wei, Jiaqun .
JOURNAL OF PURE AND APPLIED ALGEBRA, 2010, 214 (04) :493-500
[27]   On the support varieties of tilting modules [J].
Cooper, Bobbe J. .
JOURNAL OF PURE AND APPLIED ALGEBRA, 2010, 214 (11) :1907-1921
[28]   Tilting modules for Lie superalgebras [J].
Brundan, J .
COMMUNICATIONS IN ALGEBRA, 2004, 32 (06) :2251-2268
[29]   GORENSTEIN COTILTING AND TILTING MODULES [J].
Yan, Liang ;
Li, Weiqing ;
Ouyang, Baiyu .
COMMUNICATIONS IN ALGEBRA, 2016, 44 (02) :591-603
[30]   PARITY SHEAVES AND TILTING MODULES [J].
Juteau, Daniel ;
Mautner, Carl ;
Williamson, Geordie .
ANNALES SCIENTIFIQUES DE L ECOLE NORMALE SUPERIEURE, 2016, 49 (02) :257-275
12345