111 citations
3 papers
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-ph2003★ 111 cited
Deformed quantum Calogero-Moser problems and Lie superalgebras
A. N. Sergeev, A. P. Veselov
The deformed quantum Calogero-Moser-Sutherland problems related to the root systems of the contragredient Lie superalgebras are introduced. The construction is based on the notion…
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…