Agenda détail

Séminaire SPACE Tours

The R-matrix for affine Yangians
Andrea Appel (Parma)
Friday 16 February 2024 10:30 -  Tours -  E2 1180

Résumé :

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 proved to be 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 the Yangian of finite type was non-constructive and cohomological in nature. More recently, Gautam, Toledano Laredo, and Wendlandt proposed an alternative explicit construction. In this talk, I will give an overview of these results and present a generalisation for the Yangian of affine type. This is based on a joint work with S. Gautam and C. Wendlandt.

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