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Sorbonne Université CNRS Paris Diderot

Groupes, Représentations et Géométrie


Quantum matrix algebras : a survey

Dimitri Gurevich - Université de Valenciennes

vendredi 25 janvier 2019 à 14:00
Sophie Germain en salle 1016 à 14 h 00

8 place Aurélie Nemours, 75013 Paris

I’ll introduce some braidings (i.e. solutions to the Quantum Yang-Baxter equation) and corresponding quantum algebras. In particular, I plan to introduce so-called Generalized Yangians. In these algebras quantum analogs of some symmetric polynomials (elementary ones, power sums) are well-defined. These quantum symmetric polynomials generate commutative subalgebras called Bethe. Also, I plan to exhibit some quantum analogs of the classical identities (Cayley-Hamilton, Newton) and discuss an analog of the Drinfeld-Sokolov reduction.

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