当前位置: X-MOL 学术J. reine angew. Math. › 论文详情
Our official English website, www.x-mol.net, welcomes your feedback! (Note: you will need to create a separate account there.)
Counterexamples to the tilting and (p,r)-filtration conjectures
Journal für die reine und angewandte Mathematik ( IF 1.5 ) Pub Date : 2019-11-20 , DOI: 10.1515/crelle-2019-0036
Christopher P. Bendel 1 , Daniel K. Nakano 2 , Cornelius Pillen 3 , Paul Sobaje 4
Affiliation  

In this paper the authors produce a projective indecomposable module for the Frobenius kernel of a simple algebraic group in characteristic p that is not the restriction of an indecomposable tilting module. This yields a counterexample to Donkin’s longstanding Tilting Module Conjecture. The authors also produce a Weyl module that does not admit a p-Weyl filtration. This answers an old question of Jantzen, and also provides a counterexample to the (p,r)-Filtration Conjecture.

中文翻译:

倾斜和(p,r)过滤猜想的反例

在本文中,作者针对特征为p的简单代数群的Frobenius核生成了射影不可分解模块,该模块不受不可分解倾斜模块的限制。这为Donkin长期以来的倾斜模块猜想提供了反例。作者还产生了不允许p- Weyl过滤的Weyl模块。这回答了詹森(Jantzen)的一个古老问题,并为p[R-过滤猜想。
更新日期:2019-11-20
down
wechat
bug