Generalized Cartan type \(S\) Lie algebras in characteristic zero

DOI10.1006/jabr.1996.7001zbMath0978.17015OpenAlexW1997592498MaRDI QIDQ1364263

Kaiming Zhao, Dragomir Ž. Djoković

Publication date: 1 November 1997

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

Full work available at URL: https://doi.org/10.1006/jabr.1996.7001

zbMATH Keywords

generalized Witt algebrasdivergence map

Mathematics Subject Classification ID

Group rings (16S34) Infinite-dimensional Lie (super)algebras (17B65) Automorphisms, derivations, other operators for Lie algebras and super algebras (17B40) Graded Lie (super)algebras (17B70) Simple, semisimple, reductive (super)algebras (17B20)

Related Items (10)

Infinite Dimensional Lie Algebras of Type L ⋮ Multiplicity-one representations of divergence-free Lie algebras ⋮ Non-weight representations of Cartan type S Lie algebras ⋮ The groups of automorphisms of the Lie algebras of polynomial vector fields with zero or constant divergence ⋮ THE SPECIAL ALGEBRAS OF CARTAN TYPE IN CHARACTERISTIC 0 ⋮ Twists and quantizations of Cartan type \(S\) Lie algebras ⋮ Structure of divergence-free Lie algebras ⋮ WEYL TYPE ALGEBRAS FROM QUANTUM TORI ⋮ Second cohomology of generalized Cartan type \(S\) Lie algebras in characteristic zero ⋮ Generalized Virasoro and super-Virasoro algebras and modules of the intermediate series

Cites Work

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• On the derivations of generalized Witt algebras over a field of characteristic zero
• Generalizations of Witt algebras over a field of characteristic zero
• New simple infinite-dimensional Lie algebras of characteristic 0
• Some infinite-dimensional simple Lie algebras in characteristic \(0\) related to those of Block
• Central extensions of infinite-dimensional Lie algebras
• Derivations, isomorphisms, and second cohomology of generalized Witt algebras

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