Braided Yangians and Drinfeld-Sokolov reduction in quantum algebras (Dimitri Gourevitch, Valenciennes University, France)

08.12.2017 14:00

Recently, jointly with Pavel Saponov I introduced the notion of Braided Yangians. These algebras have many interesting properties. In particular, they admit defining quantum analogs of some symmetric polynomials. Moreover, some relations between these "quantum symmetric polynomials" in the spirit of the Newton identities are valid. Also, an analog of the Drinfeld-Sokolov reduction in these algebras can be defined. By contrast with the classical version of this reduction ours is essentially based on the quantum Cayley-Hamilton identity valid for the generating matrices of Braided Yangians (and some other quantum algebras).


Bâtiment: Battelle

Séminaire "Groupes de Lie et espaces des modules"

Organisé par

Section de mathématiques


Dimitri Gourevitch, Valenciennes University, France

entrée libre


Catégorie: Séminaire