Calogero-Moser operators in infinite dimension
Mathematical Physics
2009-10-13 v1 math.MP
Abstract
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 parameter k=-1 the analogue of Jacobi-Trudy formula is given and the relation with representation theory of Lie superlagebra gl(m,n) is discussed.
Cite
@article{arxiv.0910.1984,
title = {Calogero-Moser operators in infinite dimension},
author = {A. N. Sergeev and A. P. Veselov},
journal= {arXiv preprint arXiv:0910.1984},
year = {2009}
}
Comments
15 pages