PIRSA:20060034

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_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}}
          }
          

Pavel Safronov University of Zurich

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.