PIRSA:22030096

BGG-type relations for transfer matrices of rational spin chains and the shifted Yangians

Tsymbaliuk, O. (2022). BGG-type relations for transfer matrices of rational spin chains and the shifted Yangians. Perimeter Institute. https://pirsa.org/22030096

Tsymbaliuk, Oleksandr. BGG-type relations for transfer matrices of rational spin chains and the shifted Yangians. Perimeter Institute, Mar. 04, 2022, https://pirsa.org/22030096 

          @misc{ pirsa_PIRSA:22030096,
            doi = {10.48660/22030096},
            url = {https://pirsa.org/22030096},
            author = {Tsymbaliuk, Oleksandr},
            keywords = {Mathematical physics},
            language = {en},
            title = {BGG-type relations for transfer matrices of rational spin chains and the shifted Yangians},
            publisher = {Perimeter Institute},
            year = {2022},
            month = {mar},
            note = {PIRSA:22030096 see, \url{https://pirsa.org}}
          }

Oleksandr Tsymbaliuk Purdue University

DOI 10.48660/22030096
Collection
Talk Type Scientific Series
Subject

Abstract

In this talk, I will discuss: (1) the new BGG-type resolutions of finite dimensional representations of simple Lie algebras that lead to BGG-relations expressing finite-dimensional transfer matrices via infinite-dimensional ones, (2) the factorization of infinite-dimensional ones into the product of two Q-operators, (3) the construction of a large family of rational Lax matrices from antidominantly shifted Yangians. This talk is based on the joint works with R.Frassek, I. Karpov, and V.Pestun.