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


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Abstract

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.

About the authors

T. A. Grigoryev

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

Author for correspondence.
Email: grigorev.ta@phystech.edu
Russian Federation, Moscow; Moscow

M. L. Nazarov

Department of Mathematics, University of York

Email: grigorev.ta@phystech.edu
United Kingdom, York

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