Speaker: Gurevich Dimitry (IITP, Moscow)
Date and time: 24.05.2023, 17:00 (GMT +03:00)
Title: Reflection Equation Algebra and related combinatorics
Abstract: Reflection Equation Algebras constitute a subclass of the so-called Quantum Matrix algebras. Each of the REA is associated with a quantum $R$-matrix. In a sense the REA corresponding to quantum R-matrix of Hecke type can be considered as q-counterparts of the commutative algebra Sym(gl(N)) or the enveloping algebras U(gl(N)) depending on its realization. On any such RE algebra there exist analogs of some symmetric polynomials, namely the power sums and the Schur functions.
In my talk I plan to exhibit q-versions of the Capelli formula, the Frobenius formula, related to this combinatorics. Also I plan to introduce analogs of the Casimir operators and perform their spectral analysis.
To access the online seminar please contact Anna Tolbey email@example.com