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math.QA2026
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…
math.QA2025
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…
math.QA2024
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…