Representations of Toroidal General Linear Superalgebra

DOI10.1080/00927872.2012.660258zbMath1328.17019arXiv1104.1068OpenAlexW2033074910MaRDI QIDQ2842317

Senapathi Eswara Rao

Publication date: 13 August 2013

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1104.1068

zbMATH Keywords

modulesFock spacevertex operatorsbosonstoroidal superalgebra

Mathematics Subject Classification ID

Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras (17B67) Vertex operators; vertex operator algebras and related structures (17B69) Infinite-dimensional Lie (super)algebras (17B65)

Related Items (3)

Bosonic–fermionic realizations of root spaces and bilinear forms for Lie superalgebras ⋮ Bosonic vertex representations of the toroidal superalgebras in type D(m,n) ⋮ Vertex representations of toroidal special linear Lie superalgebras

Cites Work

• Basic representations of affine Lie algebras and dual resonance models
• Vertex representations for \(n\)-toroidal Lie algebras and a generalization of the Virasoro algebra
• Integrable modules for affine Lie superalgebras
• Lie superalgebras
• Central extensions of Lie superalgebras
• Integrable highest weight modules over affine superalgebras and Appell's function
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