Calogero-Moser operators in infinite dimension

Physics – Mathematical Physics

Scientific paper

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15 pages

Scientific paper

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.

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