Classification of quasifinite modules over Lie algebras of matrix differential operators on the circle
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Publication:4663446
DOI10.1090/S0002-9939-05-07881-0zbMath1097.17008arXivmath/0511524OpenAlexW2045490841MaRDI QIDQ4663446
Publication date: 31 March 2005
Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math/0511524
Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Lie algebras of vector fields and related (super) algebras (17B66)
Related Items (3)
Simple modules for modular Lie superalgebras \(W(0|n)\), \(S(0|n)\), and \(K(n)\) ⋮ Quantization of Lie Algebras of Generalized Weyl Type ⋮ Generalized Verma Modules over Lie Algebras of Weyl Type
Cites Work
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- Integrable representations of affine Lie-algebras
- 2-cocycles on the algebra of differential operators
- Classification of Harish-Chandra modules over the Virasoro Lie algebra
- Quasifinite representations of classical Lie subalgebras of \({\mathcal W}_{1+\infty}\)
- Cohomology of conformal algebras
- Quasifinite highest weight modules over the Lie algebra of differential operators on the circle
- Classification of Harish-Chandra modules over the higher rank Virasoro algebras
- Classification of quasifinite modules over the Lie algebras of Weyl type.
- \({\mathcal W}_{1+\infty}\) and \({\mathcal W}(gl_ N)\) with central charge \(N\)
- Representation theory of the vertex algebra \(W_{1+\infty}\)
- Isomorphism classes and automorphism groups of algebras of Weyl type
- Quasifinite highest weight modules over the Lie algebra of matrix differential operators on the circle
- Simple Conformal Superalgebras of Finite Growth
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