Structures of Not-finitely Graded Lie Algebras Related to Generalized Virasoro Algebras

DOI10.1080/00927872.2014.904324zbMath1317.17033arXiv1404.3279OpenAlexW2963186345MaRDI QIDQ5500727

Yucai Su, Jianzhi Han, Qiufan Chen

Publication date: 7 August 2015

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

Full work available at URL: https://arxiv.org/abs/1404.3279

zbMATH Keywords

derivationsautomorphismsgeneralized Virasoro algebras2-cocyclesnot-finitely graded Lie algebras

Mathematics Subject Classification ID

Virasoro and related algebras (17B68) Automorphisms, derivations, other operators for Lie algebras and super algebras (17B40) Graded Lie (super)algebras (17B70) Cohomology of Lie (super)algebras (17B56)

Related Items (4)

Structures of generalized loop planar Galilean conformal algebras ⋮ Structures of generalized loop Schrödinger-Virasoro algebras ⋮ Structures of not-finitely graded Lie algebras related to generalized Heisenberg-Virasoro algebras ⋮ Derivations of the nongraded Witt algebra with coefficients in tensor modules

Cites Work

• \(W\)-algebra \(W\)(2, 2) and the vertex operator algebra \({L(\frac{1}{2},\,0)\,\otimes\, L(\frac{1}{2},\,0)}\)
• The higher rank Virasoro algebras
• Derivations and central extensions of finitely generated graded Lie algebras
• Classification of Harish-Chandra modules over the higher rank Virasoro algebras
• Derivation-simple algebras and the structures of Lie algebras of Witt type
• Generalized Virasoro and super-Virasoro algebras and modules of the intermediate series
• Quasifinite representations of a Lie algebra of Block type
• SECOND COHOMOLOGY GROUP OF GENERALIZED WITT TYPE LIE ALGEBRAS AND CERTAIN REPRESENTATIONS
• Structures of Generalized Loop Virasoro Algebras

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