111 citations · 163 across the 13 of their papers we have counts for
12 papers
Supergroup and super Jacobi polynomials
G. S. Movsisyan, A. N. Sergeev
Coefficients of super Jacobi polynomials of type are rational functions in three parameters . At the point these coefficient may have poles. Let us set $…
Super Jack-Laurent Polynomials
A. N. Sergeev
Let be the algebra of the quantum integrals of the deformed Calogero-Moser-Sutherland problem corresponding to the root system of the Lie superalgebra $\frak{gl…
Orbits and invariants of super Weyl groupoid
A. N. Sergeev, A. P. Veselov
We study the orbits and polynomial invariants of certain affine action of the super Weyl groupoid of Lie superalgebra , depending on a parameter. We show that…
Symmetric Lie superalgebras and deformed quantum Calogero-Moser problems
A. N. Sergeev, A. P. Veselov
The representation theory of symmetric Lie superalgebras and corresponding spherical functions are studied in relation with the theory of the deformed quantum Calogero-Moser system…
Jack-Laurent symmetric functions for special values of parameters
A. N. Sergeev, A. P. Veselov
We consider the Jack--Laurent symmetric functions for special values of parameters p_0=n+k^{-1}m, where k is not rational and m and n are natural numbers. In general, the coefficie…
Dunkl operators at infinity and Calogero-Moser systems
A. N. Sergeev, A. P. Veselov
We define the Dunkl and Dunkl-Heckman operators in infinite number of variables and use them to construct the quantum integrals of the Calogero-Moser-Sutherland problems at infinit…