PIRSA:20060034 Conference Mathematical physics

DOI10.48660/20060034

Conference/School: Geometric Representation Theory

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

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

@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}}
}

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.

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