4 papers
Representations of Spectrum of GL(m) type Quantum Matrices
Dimitry Gurevich, Pavel Saponov, Mikhail Zaitsev
In the present paper we are dealing with reflection equation algebras corresponding to even skew-invertible Hecke symmetries. Our main result consists in computing th…
Wick theorem and matrix Capelli identity for quantum differential operators on Reflection Equation Algebras
Dimitri Gurevich, Pavel Saponov, Mikhail Zaitsev
Quantum differential operators on Reflection Equation Algebras, corresponding to Hecke symmetries R were introduced in previous publications. In the present paper we are mainly int…
Quantum -weight system and its average values
Mikhail Zaitsev
We present a proof of a recent conjecture due to M. Kazarian, E. Krasilnikov, S. Lando, and M. Shapiro, which describes the average value of the universal -weight sy…
Universal matrix Capelli identity
Mikhail Zaitsev
We propose a universal matrix Capelli identity and explain how to derive Capelli identities for all quantum immanants in the Reflection Equation algebra and in the universal envelo…