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An analogue of the Perelomov-Popov formula for the Lie superalgebra \(q(N)\). (English. Russian original) Zbl 07215184
Funct. Anal. Appl. 53, No. 4, 304-308 (2019); translation from Funkts. Anal. Prilozh. 53, No. 4, 79-84 (2019).
Summary: 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.
MSC:
17B Lie algebras and Lie superalgebras
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