6 citations · 8 across the 2 of their papers we have counts for
3 papers
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…
math.CO2017
Cyclotomic shuffles
O. Ogievetsky, V. Petrova
Analogues of 1-shuffle elements for complex reflection groups of type are introduced. A geometric interpretation for in terms of rotational permutations of po…