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Topics in Integrability
Tensor powers of vector representation of quantum sl(2) at roots of unity
Tensor powers of vector representation of quantum sl(2) at roots of unity
Organizers
Speaker
Olga Postnova
Time
Tuesday, May 23, 2023 2:00 PM - 4:00 PM
Venue
A3-2-201
Online
Zoom 388 528 9728
(BIMSA)
Abstract
We consider statistics of tilting modules in tensor powers of the fundamental representations of quantum sl2 at an even root of unity. We compute multiplicities of tilting modules in the N -th tensor powers of vector representation of quantum sl2 explicitly as sums of binomial coefficients and describe them in terms of lattice walks with filters. (joint work with Nicolai Reshetikhin, Anna Lachowska and Dmitry Solovyev)