November 30, 2021 to December 2, 2021
Le Bois-Marie
Europe/Paris timezone

q-cut-and-join Operators and q-Capelli Identity on Reflection Equation Algebras (in person)

Nov 30, 2021, 12:00 PM
Centre de conférences Marilyn et James Simons (Le Bois-Marie)

Centre de conférences Marilyn et James Simons

Le Bois-Marie

35, route de Chartres 91440 Bures-sur-Yvette


Dimitri Gurevich (Valenciennes University)


There exists a way, based on the notion of Quantum Doubles, to introduce analogs of partial derivatives on the so-called Reflection Equation algebras. Analogously to the classical case it is possible to use these ”q-derivatives” for different applications. I plan to explain their utility for constructing q-analogs of the Casimir operators, close to them cut-and-join operators, and the Capelli identity.

Presentation materials