4 papers
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…
Multiparameter Schur -Functions Are Solutions of the BKP Hierarchy
Natasha Rozhkovskaya
We prove that multiparameter Schur -functions, which include as specializations factorial Schur -functions and classical Schur -functions, provide solutions of the BKP hie…
Action of Clifford algebra on the space of sequences of transfer operators
Natasha Rozhkovskaya
We deduce from a determinant identity on quantum transfer matrices of generalized quantum integrable spin chain model their generating functions. We construct the isomorphism of Cl…
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…