21 citations · 129 across the 34 of their papers we have counts for
37 papers
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…
Quantum doubles of Fock type and bosonization
Dimitry Gurevich, Pavel Saponov
We introduce analogs of creation and annihilation operators, related to involutive and Hecke symmetries R, and perform bosonic and fermionic realization of the modified Reflection…
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…
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…
Doubles of associative algebras and their applications
Dimitri Gurevich, Pavel Saponov
For a couple of associative algebras we define the notion of their double and give a set of examples. Also, we discuss applications of such doubles to representation theory of cert…
Determinants in Quantum Matrix Algebras and Integrable Systems
Dimitri Gurevich, Pavel Saponov
We define quantum determinants in Quantum Matrix Algebras, related to couples of compatible braidings following the scheme from [G]. We establish relations between these determinan…