2-cocycles on the algebra of differential operators
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Publication:1119725
DOI10.1016/0021-8693(89)90237-8zbMath0671.17010OpenAlexW1989199536MaRDI QIDQ1119725
Publication date: 1989
Published in: Journal of Algebra (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/0021-8693(89)90237-8
cohomologyinfinite dimensional Lie algebraLaurent polynomial ringcentral extensionalgebra of differential operators2-cocycle
Related Items (max. 100)
Leibniz Central Extensions on Some Infinite-Dimensional Lie Algebras ⋮ Derivation Algebras and 2-Cocycles of the Algebras ofq-Differential Operators ⋮ Formal pseudodifferential operators in one and several variables, central extensions, and integrable systems ⋮ Deformations of Lie algebras using \(\sigma\)-derivations ⋮ Differential operator Lie algebras on the ring of Laurent polynomials ⋮ Quasifinite highest weight modules over the super \(W_{1+\infty}\) algebra ⋮ 2-Cocycles of Twisted Deformative Schrödinger–Virasoro Algebras ⋮ Poisson-Lie group of pseudodifferential symbols ⋮ Central extensions of infinite-dimensional Lie algebras and Lie groups, Virasoro algebra and generalizations ⋮ Representation theory of the vertex algebra \(W_{1+\infty}\) ⋮ Low-dimensional cohomology of \(q\)-deformed Heisenberg-Virasoro algebra of Hom-type ⋮ Commutative families in \(W_\infty\), integrable many-body systems and hypergeometric \(\tau\)-functions ⋮ Formal differential operators, vertex operator algebras and zeta-values. I, II. ⋮ The central extension defining the super matrix generalization of \(W_{1+\infty}\) ⋮ 2-Cocycles of the Lie Superalgebras of Weyl Type ⋮ Pseudodifferential symbols on Riemann surfaces and Krichever-Novikov algebras ⋮ Representations of centrally-extended Lie algebras over differential operators and vertex algebras ⋮ Classification of quasifinite modules over Lie algebras of matrix differential operators on the circle ⋮ Quasi-hom-Lie algebras, central extensions and 2-cocycle-like identities ⋮ Bosonic and fermionic representations of Lie algebra central extensions ⋮ A cohomological characterization of Leibniz central extensions of Lie algebras ⋮ WEYL TYPE ALGEBRAS FROM QUANTUM TORI ⋮ Quasifinite highest weight modules over the Lie algebra of differential operators on the circle ⋮ Classification of quasifinite modules over the Lie algebras of Weyl type.
Cites Work
- Realization of the basic representations of the Euclidean Lie algebras
- Two constructions of affine Lie algebra representations and boson-fermion correspondence in quantum field theory
- Construction of the affine Lie algebra \(A^{(1)}_1\)
- Spin and wedge representations of infinite-dimensional Lie algebras and groups
- COHOMOLOGY OF THE LIE ALGEBRA OF FORMAL VECTOR FIELDS
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