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arxiv: 0910.1984 · v1 · submitted 2009-10-11 · 🧮 math-ph · math.MP

Calogero-Moser operators in infinite dimension

classification 🧮 math-ph math.MP
keywords calogero-moserdiscussedanaloguecaseclassdimensionformulafunctions
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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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