Classification of category \(\mathcal{J}\) modules for divergence zero vector fields on a torus
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Publication:1702714
DOI10.1016/j.jalgebra.2017.05.022zbMath1420.17006arXiv1607.07067OpenAlexW2963292689MaRDI QIDQ1702714
Publication date: 28 February 2018
Published in: Journal of Algebra (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1607.07067
Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Lie algebras of vector fields and related (super) algebras (17B66)
Related Items (10)
Integrable modules for twisted toroidal extended affine Lie algebras ⋮ ACTIONS OF MONOIDAL CATEGORIES AND REPRESENTATIONS OF CARTAN TYPE LIE ALGEBRAS ⋮ Jet modules for the centerless Virasoro-like algebra ⋮ Unnamed Item ⋮ Irreducible modules over the divergence zero algebras and their \(q\)-analogues ⋮ Category $\mathcal{J}$ Modules for Hamiltonian Vector Fields on a Torus ⋮ Classification of integrable representations for toroidal extended affine Lie algebras ⋮ Derivations and automorphism group for divergence zero vector fields on torus ⋮ Harish-Chandra modules for divergence zero vector fields on a torus ⋮ Simple modules over the Lie algebras of divergence zero vector fields on a torus
Cites Work
- Unnamed Item
- Partial classification of cuspidal simple modules for Virasoro-like algebra
- Irreducible representations for toroidal Lie algebras
- Weight modules over exp-polynomial Lie algebras
- Irreducible representations of the Lie-algebra of the diffeomorphisms of a \(d\)-dimensional torus
- Irreducible Modules for the Lie Algebra of Divergence Zero Vector Fields on a Torus
- Jordan-Chevalley decomposition in finite dimensional Lie algebras
- Jet Modules
- Partial classification of modules for Lie-algebra of diffeomorphisms of d-dimensional torus
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