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Irreducible representations of Khovanov-Lauda-Rouquier algebras

Advances in Lie Theory, Representation Theory, and Combinatorics: Inspired by the work of Georgia M. Benkart May 01, 2024 - May 03, 2024

May 01, 2024 (03:30 PM PDT - 04:30 PM PDT)
Speaker(s): Monica Vazirani (University of California, Davis)
Location: SLMath: Eisenbud Auditorium, Online/Virtual
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Irreducible representations of Khovanov-Lauda-Rouquier algebras


The representation theory of KLR algebras categorifies quantum groups. In particular there is one simple (finite dimensional) KLR module for each node in the crystal graph B(\infty), and one can use crystal operators to construct them by taking a simple quotient of a particular induced module. In finite type there are several ways to do this, including the adapted string construction of Benkart-Kang-Oh-Park, as well as work of Kleshchev-Ram and McNamara. I'll discuss some of these results and related ideas.

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Irreducible representations of Khovanov-Lauda-Rouquier algebras

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