5 citations · 7 across the 3 of their papers we have counts for
12 papers
Centralizer construction of the Yangian of the queer Lie superalgebra
Maxim Nazarov, Alexander Sergeev
Consider the complex matrix Lie superalgebra with the standard generators where . Define an involutive automorphism of by…
Coincident root loci and Jack and Macdonald polynomials for special values of the parameters
M. Kasatani, T. Miwa, A. N. Sergeev +1
We consider the coincident root loci consisting of the polynomials with at least two double roots andpresent a linear basis of the corresponding ideal in the algebra of symmetric p…
Generalised discriminants, deformed quantum Calogero-Moser system and Jack polynomials
A. N. Sergeev, A. P. Veselov
It is shown that the deformed Calogero-Moser-Sutherland (CMS) operators can be described as the restrictions on certain affine subvarieties (called generalised discriminants) of th…
Enveloping algebra U(gl(3)) and orthogonal polynomials in several discrete indeterminates
Alexander Sergeev
Let A be an associative complex algebra and L an invariant linear functional on it (trace). Let i be an involutive antiautomorphism of A such that L(i(a))=L(a) for any a in A. Then…
Casimir operators for Lie superalgebras
Dimitry Leites, Alexander Sergeev
Casimir operators -- the generators of the center of the enveloping algebra -- are described for simple or close to them ``classical'' finite dimensional Lie superalgebras with non…
Projective Schur functions as a bispherical functions on certain homogeneous superspaces
Alexander Sergeev
I show that the projective Schur functions may be interpreted as bispherical functions of either the triple (q(n),gl(n,n),q(n)), where q(n) is the "odd" (queer) analog of the gener…