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math.QA2022★ 6 cited
Matrix Capelli identities related to Reflection Equation algebra
Dimitri Gurevich, Varvara Petrova, Pavel Saponov
By using the notion of a quantum double we introduce analogs of partial derivatives on a Reflection Equation algebra, associated with a Hecke symmetry of GL(N) type. We construct t…
math.QA2021★ 2 cited
q-Casimir and q-cut-and-join operators related to Reflection Equation Algebras
Dimitri Gurevich, Varvara Petrova, Pavel Saponov
In this paper we are dealing with the Reflection Equation algebra , associated with a type Hecke symmetry . In this algebra we define the -analogs of the…