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 $\mathcal{M}(R)$, associated with a $G{L}_N$ type Hecke symmetry $R$. In this algebra we define the $q$-analogs of the…