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Tensor powers of vector representation of quantum sl(2) at roots of unity

组织者

安东·贾马伊 , 唐鑫星 , 王丽

演讲者

Olga Postnova

时间

2023年05月23日 14:00 至 16:00

地点

A3-2-201

线上

Zoom 388 528 9728 (BIMSA)

摘要

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)