Classification of irreducible integrable representations for the full toroidal Lie algebras
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Publication:557060
DOI10.1016/j.jpaa.2004.12.051zbMath1070.17009OpenAlexW1976383175WikidataQ115345630 ScholiaQ115345630MaRDI QIDQ557060
Cuipo (Cuibo) Jiang, Senapathi Eswara Rao
Publication date: 23 June 2005
Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jpaa.2004.12.051
Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras (17B67) Virasoro and related algebras (17B68) Infinite-dimensional Lie (super)algebras (17B65)
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Cites Work
- Conformal field theory
- Toroidal Lie algebras and vertex representations
- Integrable representations of affine Lie-algebras
- Extended affine Weyl groups
- Vertex representations for \(n\)-toroidal Lie algebras and a generalization of the Virasoro algebra
- Nonreduced extended affine Weyl groups.
- Integrable representations for generalized Virasoro-toroidal Lie algebras.
- Irreducible representations for toroidal Lie algebras
- Classification of irreducible integrable modules for toroidal Lie algebras with finite dimensional weight spaces
- Algebras of diffeomorphisms of the N-torus
- Principal vertex operator representations for toroidal Lie algebras
- Partial classification of modules for Lie-algebra of diffeomorphisms of d-dimensional torus
- Classification of irreducible integrable modules for multi-loop algebras with finite-dimensional weight spaces
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