\(\mathcal{AV}\) modules of finite type on affine space

DOI10.1016/j.jalgebra.2023.01.029OpenAlexW4321483597MaRDI QIDQ2694749

Colin Ingalls, Yuly Billig, Amir Nasr

Publication date: 4 April 2023

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

Full work available at URL: https://arxiv.org/abs/2002.08388

zbMATH Keywords

Lie algebra of vector fieldsAV modules

Mathematics Subject Classification ID

Lie algebras of vector fields and related (super) algebras (17B66) Relationship to Lie algebras and finite simple groups (11F22)

Cites Work

• Classification of irreducible representations of Lie algebra of vector fields on a torus
• Biinvertible actions of Hopf algebras
• Generators and defining relations for the ring of differential operators on a smooth affine algebraic variety
• On the simplicity of Lie algebras of derivations of commutative algebras
• Representations of the Lie algebra of vector fields on a sphere
• Simple weight modules with finite weight multiplicities over the Lie algebra of polynomial vector fields
• Gauge modules for the Lie algebras of vector fields on affine varieties
• Representations of Lie algebras of vector fields on affine varieties
• Jet Modules
• On the Ideals of a Lie Algebra of Derivations
• Lie algebras of vector fields on smooth affine varieties
• Projective modules over polynomial rings

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