BIMSA >
Integrable systems blackboard seminar
Integrable systems blackboard seminar
Bounds on dimensions of spaces of homomorphisms for products of affine $\mathfrak{sl}_2$-evaluation modules
Bounds on dimensions of spaces of homomorphisms for products of affine $\mathfrak{sl}_2$-evaluation modules
Organizers
Speaker
Andrei Grigorev
Time
Monday, May 25, 2026 3:30 PM - 4:30 PM
Venue
A7-201
Abstract
Affine quantum groups are certain $q$-deformations of the corresponding universal enveloping algebras. Irreducible finite-dimensional representations of affine quantum groups corresponding to affinizations of algebras of classical types were classified in 90's. However, many questions about finite-dimensional representations remain unanswered. In our work we are interested in dimensions of the spaces of homomorphisms between tensor products of certain modules over affine quantum $\mathfrak{sl}_2$ depending on parameters. We obtain bounds for these dimensions in terms of combinatorial objects related to the sequences of the parameters of modules in the tensor products. The talk is based on work joint with E. Mukhin.