An Analogue of the Perelomov-Popov Formula for the Lie Superalgebra q(N)


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We study the center of the universal enveloping algebra of the strange Lie superalgebra q(N). We obtain an analogue of the well-known Perelomov-Popov formula [6] for the central elements of this algebra—an expression of the central characters through the highest weight parameters.

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T. Grigoryev

Skolkovo Institute of Science and Technology; National Research University Higher School of Economics

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Email: grigorev.ta@phystech.edu
俄罗斯联邦, Moscow; Moscow

M. Nazarov

Department of Mathematics, University of York

Email: grigorev.ta@phystech.edu
英国, York

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