Integrable modules for affine Lie superalgebras
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Publication:3182545
DOI10.1090/S0002-9947-09-04749-7zbMath1197.17013arXivmath/0311207MaRDI QIDQ3182545
Vyacheslav M. Futorny, Senapathi Eswara Rao
Publication date: 9 October 2009
Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math/0311207
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Cites Work
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- Integrable representations of affine Lie-algebras
- New unitary representations of loop groups
- The simple modules of the Lie superalgebra \(osp (1,2)\)
- Irreducible non-dense \(A_ 1^{(1)}\)-modules
- Classification of loop modules with finite dimensional weight spaces
- Classification of irreducible weight modules
- Lie Algebra Modules with Finite Dimensional Weight Spaces, I
- On the structure of weight modules
- Lie superalgebras
- Classification of irreducible nonzero level modules with finite-dimensional weight spaces for affine Lie algebras
- Integrable highest weight modules over affine superalgebras and Appell's function