13 citations · 55 across the 20 of their papers we have counts for
20 papers
Euler characters for general linear Lie superalgebra
A. N. Sergeev
M. Gorelik and Th. Heidersdors in the papers \cite{GH} investigated Euler characters for Lie superalgebra and . In the present paper we also inve…
Canonical bilinear form and Euler characters
A. N. Sergeev
An explicit formula for the canonical bilinear form on the Grothendieck ring of the Lie supergroup is given. As an application we get an algorithm for the decomposition E…
Jack-Laurent symmetric functions
A. N. Sergeev, A. P. Veselov
We develop the general theory of Jack-Laurent symmetric functions, which are certain generalisations of the Jack symmetric functions, depending on an additional parameter p_0.
Calogero-Moser operators in infinite dimension
A. N. Sergeev, A. P. Veselov
Various infinite-dimensional versions of the Calogero-Moser operator are discussed. The related class of Jack-Laurent symmetric functions is studied. In the special case when param…
A new approach to the representation theory of the symmetric groups. IV. -graded groups and algebras
A. M. Vershik, A. N. Sergeev
We start with definitions of the general notions of the theory of -graded algebras. Then we consider theory of inductive families of -graded semisimple fini…
Deformed Macdonald-Ruijsenaars operators and super Macdonald polynomials
A. N. Sergeev, A. P. Veselov
It is shown that the deformed Macdonald-Ruijsenaars operators can be described as the restrictions on certain affine subvarieties of the usual Macdonald-Ruijsenaars operator in inf…