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

### APA

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

### MLA

Safronov, Pavel. Parabolic restriction for Harish-Chandra bimodules and dynamical R-matrices. Perimeter Institute, Jun. 25, 2020, https://pirsa.org/20060034

### BibTex

@misc{ pirsa_PIRSA:20060034, doi = {10.48660/20060034}, url = {https://pirsa.org/20060034}, author = {Safronov, Pavel}, keywords = {Mathematical physics}, language = {en}, title = {Parabolic restriction for Harish-Chandra bimodules and dynamical R-matrices}, publisher = {Perimeter Institute}, year = {2020}, month = {jun}, note = {PIRSA:20060034 see, \url{https://pirsa.org}} }

University of Zurich

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Talk Type

**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.