Andrea Appel
Andrea Appel
Ferrara - 2024
University of Parma
The R-matrix of affine Yangians
The theory of Yangians was introduced by Drinfeld in the 1980s as a systematic approach to solving the Yang-Baxter equation: every irreducible finite-dimensional representation is equipped with a rational R-matrix obtained by normalising the action of the universal R-matrix.
Drinfeld’s proof of the existence of the universal R-matrix for Yangians of finite type was non-constructive and cohomological in nature.
In this talk, I will present an alternative, explicit, and more general construction, which extends to the case of Yangians of affine type and their representations in category O.
This is based on a joint work with S. Gautam and C. Wendlandt.