Clifford Algebra Realization of Certain Infinite-dimensional Lie Algebras

DOI10.1142/S1005386711000058zbMath1283.17019WikidataQ115245008 ScholiaQ115245008MaRDI QIDQ3067771

Xiufeng Du, Li Li, ChunYan Wang

Publication date: 13 January 2011

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

Full work available at URL: http://worldscinet.com/ac/18/1801/S1005386711000058.html

zbMATH Keywords

Clifford algebravertex superalgebraquasi modules

Mathematics Subject Classification ID

Virasoro and related algebras (17B68) Vertex operators; vertex operator algebras and related structures (17B69)

Cites Work

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• Nonlocal vertex algebras generated by formal vertex operators
• On certain generalizations of twisted affine Lie algebras and quasimodules for \(\Gamma\) -vertex algebras
• Classical affine algebras
• Vertex operator representation of some quantum tori Lie algebras
• Vertex operators arising from the homogeneous realization for \(\widehat{\text{gl}}_N\)
• A unified view of some vertex operator constructions
• Local systems of vertex operators, vertex superalgebras and modules
• A new construction of vertex algebras and quasi-modules for vertex algebras.
• Vertex operator superalgebras
• Spinor Construction of Vertex Operator Algebras, Triality, and 𝐸⁽¹⁾₈
• Γ -conformal algebras
• Fermionic and Bosonic Representations of the Extended Affine Lie Algebra

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