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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…
math.QA2024
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…