3 papers
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…
math.QA2023
Quantum Schur-Weyl duality and q-Frobenius formula related to Reflection Equation algebras
Dimitry Gurevich, Pavel Saponov
We establish a q-version of the Schur-Weyl duality, in which the role of the symmetric group is played by the Hecke algebra and the role of the enveloping algebra U(gl(N)) is playe…