Representations of the Lie algebra of vector fields on a torus and the chiral de Rham complex

DOI10.1090/S0002-9947-2014-05959-XzbMath1306.17008arXiv1108.6092WikidataQ115285377 ScholiaQ115285377MaRDI QIDQ3190728

Yuly Billig, Vyacheslav M. Futorny

Publication date: 19 September 2014

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

Full work available at URL: https://arxiv.org/abs/1108.6092

Mathematics Subject Classification ID

Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras (17B67) Lie algebras of vector fields and related (super) algebras (17B66) Vertex operators; vertex operator algebras and related structures (17B69)

Related Items (11)

Classification of irreducible representations of Lie algebra of vector fields on a torus ⋮ Representation theory of \(\mathbb {Z}^n\)-graded Lie algebras ⋮ Shen-Larsson's modules for simple generalized Witt algebras ⋮ New families of irreducible weight modules over \(\mathfrak{sl}_3\) ⋮ Representations of the Lie algebra of vector fields on a sphere ⋮ Lie algebras of vector fields on smooth affine varieties ⋮ On self-similar Lie algebras and virtual endomorphisms ⋮ Representations of Lie algebras of vector fields on affine varieties ⋮ Representations of Lie algebras ⋮ Irreducible jet modules for the vector field Lie algebra on S1×C ⋮ Free field realization of the twisted Heisenberg-Virasoro algebra at level zero and its applications

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