Semisimplification of the category of tilting modules for GLn

Jonathan Brundan; Inna Entova-Aizenbud; Pavel Etingof; Victor Ostrik

doi:10.1016/j.aim.2020.107331

Semisimplification of the category of tilting modules for GL_n

Jonathan Brundan, Inna Entova-Aizenbud, Pavel Etingof, Victor Ostrik

Department of Mathematics

Ben-Gurion University of the Negev

Research output: Contribution to journal › Article › peer-review

Abstract

We describe the semisimplification of the monoidal category of tilting modules for the algebraic group GL_n in characteristic p>0. In particular, we compute the dimensions of the indecomposable tilting modules modulo p.

Original language	American English
Article number	107331
Journal	Advances in Mathematics
Volume	375
DOIs	https://doi.org/10.1016/j.aim.2020.107331
State	Published - 2 Dec 2020

Keywords

Semisimplification
Tensor category
Tilting modules

All Science Journal Classification (ASJC) codes

General Mathematics

Access to Document

10.1016/j.aim.2020.107331

Cite this

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title = "Semisimplification of the category of tilting modules for GLn",

abstract = "We describe the semisimplification of the monoidal category of tilting modules for the algebraic group GLn in characteristic p>0. In particular, we compute the dimensions of the indecomposable tilting modules modulo p.",

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