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math-ph2013★ 3 cited
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.
math-ph2009★ 9 cited
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…
math-ph2003★ 2 cited
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…