A Weyl module filtration for the vertex algebra of differential operators

DOI10.1090/S1088-4165-2011-00381-2zbMath1250.17035OpenAlexW1992985230MaRDI QIDQ2889329

Minxian Zhu

Publication date: 7 June 2012

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

Full work available at URL: https://doi.org/10.1090/s1088-4165-2011-00381-2

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)

Cites Work

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• Modified regular representations of affine and Virasoro algebras, VOA structure and semi-infinite cohomology
• Vertex operator algebras associated to modified regular representations of affine Lie algebras
• Semi-infinite homological algebra
• Semiinfinite cohomology of quantum groups
• Gerbes of chiral differential operators. II: Vertex algebroids
• Regular Representations of Quantum Groups at Roots of Unity
• Tensor Structures Arising from Affine Lie Algebras. I
• Semi-infinite cohomology and string theory
• Character formulas for tilting modules over Kac-Moody algebras
• Tensor Structures Arising from Affine Lie Algebras. III
• Tensor Structures Arising from Affine Lie Algebras. IV
• On chiral differential operators over homogeneous spaces

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