Derivation Algebras and 2-Cocycles of the Algebras ofq-Differential Operators

DOI10.1081/AGB-200034167zbMath1099.17008MaRDI QIDQ3158392

Dong Liu, Hu, Naihong

Publication date: 25 January 2005

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

zbMATH Keywords

derivation2-cocycle\(q\)-differential operator

Mathematics Subject Classification ID

Automorphisms, derivations, other operators for Lie algebras and super algebras (17B40) Cohomology of Lie (super)algebras (17B56)

Related Items (2)

The central extension defining the super matrix generalization of \(W_{1+\infty}\) ⋮ Quantum Deformations of the Heisenberg-Virasoro Algebra

Cites Work

• Unnamed Item
• Derivations and central extensions of finitely generated graded Lie algebras
• 2-cocycles on the algebra of differential operators
• Cyclic homology of differential operators, the Virasoro algebra and a \(q\)-analogue
• Quasifinite highest weight modules over the Lie algebra of differential operators on the circle
• The \(q\)-Virasoro-like algebra
• \({\mathcal W}_{1+\infty}\) and \({\mathcal W}(gl_ N)\) with central charge \(N\)
• Quantum tori and the structure of elliptic quasi-simple Lie algebras
• Central extensions of some Lie algebras
• A q-analog for the virasoro algebra
• The derivation algebra and the universal central extension of theq-analog of the virasoro-like algebra^*
• The derivation algebra of the associative algebra C_q[X,Y,X^-1,Y^-1*]

This page was built for publication: Derivation Algebras and 2-Cocycles of the Algebras ofq-Differential Operators