An Analogue of the Perelomov-Popov Formula for the Lie Superalgebra q(N)
- Authors: Grigoryev T.A.1,2, Nazarov M.L.3
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Affiliations:
- Skolkovo Institute of Science and Technology
- National Research University Higher School of Economics
- Department of Mathematics, University of York
- Issue: Vol 53, No 4 (2019)
- Pages: 304-308
- Section: Brief Communication
- URL: https://journal-vniispk.ru/0016-2663/article/view/234667
- DOI: https://doi.org/10.1134/S0016266319040075
- ID: 234667
Cite item
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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