Calogero-Moser operators in infinite dimension

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.

15 pages

References in corpus (2)

• Deformed quantum Calogero-Moser problems and Lie superalgebras
• Euler characters and super Jacobi polynomials

Cited by in corpus (6)

• Deformed Calogero-Sutherland model and fractional Quantum Hall effect
• On Spin Calogero-Moser system at infinity
• Dunkl operators at infinity and Calogero-Moser systems
• Quantum Calogero-Moser systems: a view from infinity
• Jack-Laurent symmetric functions
• Laguerre and Meixner orthogonal bases in the algebra of symmetric functions