Semisimplification of the category of tilting modules for GL_n

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.

This version corrects a minor mistake in the proof of Lemma 3.4 in the published version

References in corpus (1)

• Representations of the oriented skein category

Cited by in corpus (4)

• Jacobson-Morozov Lemma for Algebraic Supergroups
• A new approach to the representation theory of the partition category
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• Webs of Type P