Representations of Lie algebras of vector fields on affine varieties

DOI10.1007/s11856-019-1909-zzbMath1473.17020arXiv1709.08863OpenAlexW2964786228MaRDI QIDQ2327977

Yuly Billig, Jonathan Nilsson, Vyacheslav M. Futorny

Publication date: 8 October 2019

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1709.08863

zbMATH Keywords

modulesLie algebra

Mathematics Subject Classification ID

Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Lie algebras of vector fields and related (super) algebras (17B66) Representations of Lie and real algebraic groups: algebraic methods (Verma modules, etc.) (22E47)

Related Items (6)

Annihilators of \(A\mathcal{V}\)-modules and differential operators ⋮ ACTIONS OF MONOIDAL CATEGORIES AND REPRESENTATIONS OF CARTAN TYPE LIE ALGEBRAS ⋮ \(\mathcal{AV}\) modules of finite type on affine space ⋮ Gauge modules for the Lie algebras of vector fields on affine varieties ⋮ Representations of Lie algebras ⋮ Irreducible jet modules for the vector field Lie algebra on S1×C

Cites Work

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• Classification of irreducible representations of Lie algebra of vector fields on a torus
• Algebras of Virasoro type, Riemann surfaces and structures of the theory of solitons
• Infinite conformal symmetry in two-dimensional quantum field theory
• Classification of Harish-Chandra modules over the Virasoro Lie algebra
• On the simplicity of Lie algebras of derivations of commutative algebras
• Weight representations of the polynomial Cartan type Lie algebras \(W_n\) and \(\overline S_n\)
• Irreducible Witt modules from Weyl modules and \(\mathfrak{gl}_n\)-modules
• Representations of the Lie algebra of vector fields on a sphere
• Irreducible representations of the Lie-algebra of the diffeomorphisms of a \(d\)-dimensional torus
• Lie algebras of derivations and affine algebraic geometry over fields of characteristic \(0\)
• Supports of weight modules over Witt algebras
• Representations of the Lie algebra of vector fields on a torus and the chiral de Rham complex
• A category of modules for the full toroidal Lie algebra
• Jet Modules
• On the Ideals of a Lie Algebra of Derivations
• IRREDUCIBLE REPRESENTATIONS OF INFINITE-DIMENSIONAL LIE ALGEBRAS OF CARTAN TYPE
• CONFORMAL FIELDS: A CLASS OF REPRESENTATIONS OF Vect(N)
• Bounded weight modules of the Lie algebra of vector fields on ℂ2
• Lie algebras of vector fields on smooth affine varieties
• Partial classification of modules for Lie-algebra of diffeomorphisms of d-dimensional torus
• Basic Algebraic Geometry 2
• From the Virasoro Algebra to Krichever–Novikov Type Algebras and Beyond

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