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PIRSA:20060034

Parabolic restriction for Harish-Chandra bimodules and dynamical R-matrices

Safronov, P. (2020). Parabolic restriction for Harish-Chandra bimodules and dynamical R-matrices. Perimeter Institute. https://pirsa.org/20060034

Pavel Safronov University of Zurich

Talk numberPIRSA:20060034
DOI10.48660/20060034
Collection
Talk Type Conference
Subject

Abstract

The category of Harish-Chandra bimodules is ubiquitous in representation theory. In this talk I will explain their relationship to the theory of dynamical R-matrices (going back to the works of Donin and Mudrov) and quantum moment maps. I will also relate the monoidal properties of the parabolic restriction functor for Harish-Chandra bimodules to the so-called standard dynamical R-matrix. This is a report on work in progress, joint with Artem Kalmykov.