Doubly \(\mathbb{Z}\)-graded Lie algebras containing a Virasoro algebra

DOI10.1006/jabr.1999.7894zbMath0935.17013OpenAlexW2047307066WikidataQ115395805 ScholiaQ115395805MaRDI QIDQ1306839

Kaiming Zhao, J. Marshall Osborn

Publication date: 20 December 1999

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

Full work available at URL: https://doi.org/10.1006/jabr.1999.7894

zbMATH Keywords

graded Lie algebrasVirasoro algebraBlock algebra

Mathematics Subject Classification ID

Virasoro and related algebras (17B68) Graded Lie (super)algebras (17B70)

Related Items (max. 100)

SOME LOOP ALGEBRAS OF HAMILTONIAN LIE ALGEBRAS ⋮ A class of non-graded left-symmetric algebraic structures on the Witt algebra ⋮ Harish-Chandra modules over the twisted Heisenberg-Virasoro algebra ⋮ Graded simple Lie algebras and graded simple representations ⋮ Representations of the ExtendedW-Algebra ⋮ Generalized Virasoro and super-Virasoro algebras and modules of the intermediate series

Cites Work

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• The Virasoro algebra
• Classification of Harish-Chandra modules over the Virasoro Lie algebra
• Classification of simple graded Lie algebras of finite growth
• A characterization of the Block Lie algebra and its \(q\)-forms in characteristic \(0\)
• A characterization of certain loop Lie algebras
• New Simple Lie Algebras of Prime Characteristic
• On Torsion-Free Abelian Groups and Lie Algebras

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