Lie Bialgebra Structures on the q-Analog Virasoro-Like Algebras

DOI10.1080/00927870802467155zbMath1268.17020OpenAlexW2081138116MaRDI QIDQ3627031

Yongsheng Cheng, Yiqian Shi

Publication date: 14 May 2009

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

Full work available at URL: https://doi.org/10.1080/00927870802467155

zbMATH Keywords

Yang-Baxter equationLie bialgebrasthe \(q\)-analog Virasoro-like algebras

Mathematics Subject Classification ID

Quantum groups (quantized enveloping algebras) and related deformations (17B37) Virasoro and related algebras (17B68) Lie bialgebras; Lie coalgebras (17B62)

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Lie bialgebra structures on the extended affine Lie algebra \(\widetilde {\mathfrak {sl}_2(\mathbb C_q)}\) ⋮ Rota-Baxter operators on 3-dimensional Lie algebras and the classical \(R\)-matrices ⋮ Lie Bialgebra Structures on the Lie Algebra

Cites Work

• Witt and Virasoro algebras as Lie bialgebras
• Lie bialgebras of generalized Witt type
• Lie bialgebras of generalized Virasoro-like type
• A class of infinite-dimensional Lie bialgebras containing the Virasoro algebra
• Classification of the Lie bialgebra structures on the Witt and Virasoro algebras
• Quasifinite representations of a Lie algebra of Block type
• Generalizations of the Block algebras
• Harish-Chandra modules for the \(q\)-analog Virasoro-like algebra
• STRUCTURE OF THE LIE ALGEBRAS RELATED TO THOSE OF BLOCK
• A q-analog for the virasoro algebra
• Representations of the virasoro-like algebra and itsq-Analog
• The derivation algebra and the universal central extension of theq-analog of the virasoro-like algebra^*
• Lie Bialgebras of Generalized WITT Type, II
• Structure of divergence-free Lie algebras