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2018 Categorical representations and KLR algebras
Ruslan Maksimau
Algebra Number Theory 12(8): 1887-1921 (2018). DOI: 10.2140/ant.2018.12.1887

Abstract

We prove that the KLR algebra associated with the cyclic quiver of length e is a subquotient of the KLR algebra associated with the cyclic quiver of length e+1. We also give a geometric interpretation of this fact. This result has an important application in the theory of categorical representations. We prove that a category with an action of sl˜e+1 contains a subcategory with an action of sl˜e. We also give generalizations of these results to more general quivers and Lie types.

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Ruslan Maksimau. "Categorical representations and KLR algebras." Algebra Number Theory 12 (8) 1887 - 1921, 2018. https://doi.org/10.2140/ant.2018.12.1887

Information

Received: 2 May 2016; Revised: 14 February 2018; Accepted: 2 June 2018; Published: 2018
First available in Project Euclid: 21 December 2018

zbMATH: 06999397
MathSciNet: MR3892967
Digital Object Identifier: 10.2140/ant.2018.12.1887

Subjects:
Primary: 16G99
Secondary: 17B67, 18E10

Rights: Copyright © 2018 Mathematical Sciences Publishers

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Vol.12 • No. 8 • 2018
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