Integrable modules over affine Lie superalgebras \(\mathfrak{sl}(1|n)^{(1)}\)

DOI10.1007/s00220-018-3246-1zbMath1459.17017arXiv1711.09443OpenAlexW3045488706MaRDI QIDQ1989854

Maria Gorelik, Vera V. Serganova

Publication date: 29 October 2018

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1711.09443

Mathematics Subject Classification ID

Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Simple, semisimple, reductive (super)algebras (17B20)

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Duflo-Serganova functor and superdimension formula for the periplectic Lie superalgebra, On the semisimplicity of the category \(KL_k\) for affine Lie superalgebras, Snowflake modules and Enright functor for Kac-Moody superalgebras, Orbifold theory of the affine vertex operator superalgebra \(L_{\widehat{osp (1|2)}}(k, 0)\), Defining relations for minimal unitary quantum affine W-algebras, The Duflo-Serganova functor, vingt ans après, The structure of parafermion vertex operator algebras \(K(osp(1|2n),k)\), Module category and \(C_2\)-cofiniteness of affine vertex operator superalgebras

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