Combinatorics and Arithmetic for Physics: Special Days

New Applications of the Reflection Equation Algebras

Nov 28, 2022, 2:55 PM

45m

Centre de conférences Marilyn et James Simons (Le Bois-Marie)

Speaker

Prof. Dimitry GUREVICH (IITP, Moscou)

Description

The REA are treated to be q-analogs of the enveloping algebras U(gl(N)). In particular, each of them has a representation category similar to that of U(gl(N)).
I plan to exhibit new applications of these algebras:
1. q-analog of Schur-Weyl duality
2. q-Capelli formula
3. q-Frobenius formula