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arXiv · 1412.8768

Symmetric Lie superalgebras and deformed quantum Calogero-Moser problems

A. N. Sergeev·A. P. Veselov
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Abstract

The representation theory of symmetric Lie superalgebras and corresponding spherical functions are studied in relation with the theory of the deformed quantum Calogero-Moser systems. In the special case of symmetric pair g=gl(n,2m), k=osp(n,2m) we establish a natural bijection between projective covers of spherically typical irreducible g-modules and the finite dimensional generalised eigenspaces of the algebra of Calogero-Moser integrals D_{n,m} acting on the corresponding Laurent quasi-invariants A_{n,m}.

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BibTeXRIS

A. N. Sergeev, A. P. Veselov. 2014-12-30. Symmetric Lie superalgebras and deformed quantum Calogero-Moser problems. https://arxiv.org/abs/1412.8768

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