An analogue of the Perelomov-Popov formula for the Lie superalgebra Q(N)

In this short note 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 (1968) for central elements of this algebra - an expression of the central characters through the highest weight parameters...

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Bibliographic Details
Published in:arXiv.org 2019-04
Main Authors: Grigoryev, Timofey, Nazarov, Maxim
Format: Article
Language:English
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Summary:In this short note 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 (1968) for central elements of this algebra - an expression of the central characters through the highest weight parameters.
ISSN:2331-8422
DOI:10.48550/arxiv.1903.07367