Calogero – Moser Operators in Infinite Dimension

  title={Calogero – Moser Operators in Infinite Dimension},
  author={Alexander N Sergeev and Alexander Petrovich 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 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.