27 citations · 72 across the 16 of their papers we have counts for
6 papers · 1 filter
On a super-analog of the Schur-Weyl Duality
Alexei Borodin, Natasha Rozhkovskaya
Two super-analogs of the Schur-Weyl duality are considered: the duality of actions in of the Lie superalgebra and the symmetri…
Linear transformations of vertex operator presentations of Hall-Littlewood polynomials
Natasha Rozhkovskaya
We study the effect of linear transformations on quantum fields with applications to vertex operator presentations of symmetric functions. Properties of linearly transformed quantu…
Polynomial Tau-functions of the KP, BKP, and the s-Component KP Hierarchies
Victor G. Kac, Natasha Rozhkovskaya, Johan van de Leur
We show that any polynomial tau-function of the s-component KP and the BKP hierarchies can be interpreted as a zero mode of an appropriate combinatorial generating function. As an…
Segal-Sugawara vectors for the Lie algebra of type
A. I. Molev, E. Ragoucy, N. Rozhkovskaya
Explicit formulas for Segal-Sugawara vectors associated with the simple Lie algebra of type are found by using computer-assisted calculations. This leads to a…
Characteristic maps for the Brauer algebra
A. I. Molev, N. Rozhkovskaya
The classical characteristic map associates symmetric functions to characters of the symmetric groups. There are two natural analogues of this map involving the Brauer algebra. The…
Braided central elements
Natasha Rozhkovskaya
We present and study two families of polynomials with coefficients in the center of the universal enveloping algebra. These polynomials are analogues of a determinant and a charact…