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This article is cited in 9 scientific papers (total in 9 papers)
On representations of the affine superalgebra $\mathbb q(n)^{(2)}$
M. Gorelika, V. V. Serganovab a Weizmann Institute of Science
b University of California, Berkeley
Abstract:
In this paper we study highest weight representations of the affine Lie superalgebra $\mathbb q(n)^{(2)}$. We prove that any Verma module over this algebra is reducible and calculate the character of an irreducible $\mathbb q(n)^{(2)}$-module with a generic highest weight. This formula is analogous to the Kac–Kazhdan formula for generic irreducible modules over affine Lie algebras at the critical level.
Key words and phrases:
Affine Lie superalgebra, highest weight representation, Shapovalov form.
Received: October 2, 2006
Citation:
M. Gorelik, V. V. Serganova, “On representations of the affine superalgebra $\mathbb q(n)^{(2)}$”, Mosc. Math. J., 8:1 (2008), 91–109
Linking options:
https://www.mathnet.ru/eng/mmj5 https://www.mathnet.ru/eng/mmj/v8/i1/p91
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Abstract page: | 326 | References: | 60 |
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