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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…
math.QA2024
Generalized Harish-Chandra morphism on Reflection Equation algebras
Dimitry Gurevich, Pavel Saponov
We consider the so-called generalized Harish-Chandra morphism, taking the center of the enveloping algebra U(gl(N)) to the commutative algebra generated by eigenvalues of the gener…
math.QA2024
Yang-Mills models on Noncommutative background
Dimitry Gurevich, Pavel Saponov
In our previous publications we have developed some elements of Noncommutative calculus on the enveloping algebras of type, in particular, analogs of the partial derivatives…