Department of Mathematics,
University of California San Diego
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Math 211A: Seminar in Algebra
Dr. Sam Qunell
UCLA
2-categorical affine symmetries and \(q\)-boson algebras
Abstract:
Representations of KLR (quiver Hecke) algebras categorify the positive part of the quantum group associated to any symmetrizable Cartan matrix. This categorical perspective makes certain symmetries more natural to study. For example, the induction and restriction functors between categories of KLR algebra modules play an important role in the theory. A closer investigation of these functors reveals surprising new symmetries. In this talk, I will explain how the induction and restriction functors for KLR algebras can be used to obtain a 2-representation of the corresponding affine positive part in type A. I will also describe a new categorification of a closely related algebra, the q-boson algebra, in all symmetrizable Kac-Moody types.
Host: Karthik Ganapathy
October 6, 2025
3:00 PM
APM 7321
Research Areas
Algebra Representation Theory****************************
