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20012005
most citedDeformed quantum Calogero-Moser problems and Lie superalgebras

111 citations

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math.RT2005★ 13 cited

Orthogonal polynomials of discrete variable and Lie algebras of complex size matrices

Dimitry Leites, Alexander Sergeev

We give a uniform interpretation of the classical continuous Chebyshev's and Hahn's orthogonal polynomials of discrete variable in terms of Feigin's Lie algebra gl(N), where N is a…

math.RT2001★ 22 cited

Superanalogs of the Calogero operators and Jack polynomials

Alexander Sergeev

A depending on a complex parameter superanalog of Calogero operator is constructed; it is related with the root system of the Lie superalgebra ${\mat…