Bosonic realization of toroidal Lie algebras of classical types

DOI10.1090/S0002-9939-09-09942-0zbMath1241.17027arXiv0908.0211MaRDI QIDQ3642645

Kailash C. Misra, Naihuan Jing, Chong Bin Xu

Publication date: 6 November 2009

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0908.0211

zbMATH Keywords

Weyl algebrasrepresentationsvertex operatorstoroidal algebras

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)

Related Items (9)

Twisted logarithmic modules of free field algebras ⋮ Bosonic free field realization of twisted 2-toroidal Lie algebras ⋮ Twisted fermionic and bosonic representations for a class of \(BC\)-graded Lie algebras ⋮ Lie Superalgebras Arising from Bosonic Representation ⋮ Fermionic realization of toroidal Lie algebras of classical types ⋮ Twisted toroidal Lie algebras and Moody-Rao-Yokonuma presentation ⋮ Representations of twisted toroidal Lie algebras from twisted modules over vertex algebras ⋮ Bosonic vertex representations of the toroidal superalgebras in type D(m,n) ⋮ Vertex representations of toroidal special linear Lie superalgebras

Cites Work

• Bosonic and fermionic representations of Lie algebra central extensions
• Fermionic realization of toroidal Lie algebras of classical types
• Classical affine algebras
• Vertex operator representations for toroidal lie algebra of typeB_l
• Principal vertex operator representations for toroidal Lie algebras
• Fermionic and Bosonic Representations of the Extended Affine Lie Algebra
• Vertex representations via finite groups and the McKay correspondence
• Vertex representations for the \(\nu +1\)-toroidal Lie algebra of type \(B_l\).
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