Quantization of Lie Algebras of Generalized Weyl Type

DOI10.1142/S100538670900042XzbMath1235.17014WikidataQ115245049 ScholiaQ115245049MaRDI QIDQ5322270

Xiao Qing Yue, Qifen Jiang, Bin Xin

Publication date: 20 July 2009

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

Full work available at URL: http://www.worldscinet.com/ac/16/1603/S100538670900042X.html

zbMATH Keywords

quantizationHopf algebraLie bialgebrasDrinfel'd twistLie algebras of generalized Weyl type

Mathematics Subject Classification ID

Quantum groups (quantized enveloping algebras) and related deformations (17B37) Lie algebras of vector fields and related (super) algebras (17B66) Structure theory for Lie algebras and superalgebras (17B05) Lie bialgebras; Lie coalgebras (17B62)

Related Items (3)

Quantization of the super-\(\mathrm{BMS}_3\) algebra ⋮ Quantization of the derivation Lie algebra over quantum torus ⋮ Quantization of the Lie superalgebra of Witt type

Cites Work

• Unnamed Item
• Witt and Virasoro algebras as Lie bialgebras
• Lie bialgebras of generalized Witt type
• The dual Poincaré-Birkhoff-Witt theorem
• Lie coalgebras
• Bialgebra actions, twists, and universal deformation formulas
• A class of infinite-dimensional Lie bialgebras containing the Virasoro algebra
• Classification of the Lie bialgebra structures on the Witt and Virasoro algebras
• Simple algebras of Weyl type
• Classification of quasifinite modules over the Lie algebras of Weyl type.
• Simple Lie color algebras of Weyl type
• Classification of quasifinite \({\mathcal W}_{\infty}\)-modules
• Quantizations of the Witt algebra and of simple Lie algebras in characteristic \(p\)
• Isomorphism classes and automorphism groups of algebras of Weyl type
• The structure of the dual Lie coalgebra of the Witt algebra
• Structure of Algebras of Weyl Type
• Lie Bialgebra Structures on Lie Algebras of Generalized Weyl Type
• 2-COCYCLES ON THE LIE ALGEBRAS OF GENERALIZED DIFFERENTIAL OPERATORS
• Classification of quasifinite modules over Lie algebras of matrix differential operators on the circle
• 2-Cocycles of the Lie Superalgebras of Weyl Type

This page was built for publication: Quantization of Lie Algebras of Generalized Weyl Type