Some infinite-dimensional simple Lie algebras in characteristic \(0\) related to those of Block

DOI10.1016/S0022-4049(96)00171-5zbMath0929.17025OpenAlexW2008932767WikidataQ115340110 ScholiaQ115340110MaRDI QIDQ1295509

Kaiming Zhao, Dragomir Ž. Djoković

Publication date: 1 February 2000

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0022-4049(96)00171-5

zbMATH Keywords

isomorphismsderivationssecond cohomologyinfinite-dimensional simple Lie algebrasBlock Lie algebras

Mathematics Subject Classification ID

Infinite-dimensional Lie (super)algebras (17B65) Automorphisms, derivations, other operators for Lie algebras and super algebras (17B40) Cohomology of Lie (super)algebras (17B56)

Related Items

Representations of nongraded Lie algebras of Block type ⋮ A Class of Nongraded Simple Lie Algebras ⋮ Weight modules over exp-polynomial Lie algebras ⋮ Structure of Lie Superalgebras of Block Type Related to Locally Finite Derivations ⋮ Generalized Cartan type \(S\) Lie algebras in characteristic zero ⋮ Biderivations of the block Lie algebras ⋮ Structure of a new class of non-graded infinite-dimensional simple Lie algebras. ⋮ Local properties of Virasoro-like algebra ⋮ Irreducible weight modules for the Virasoro-like algebra and its q-analog ⋮ Jet modules for the centerless Virasoro-like algebra ⋮ Representations of four-derivation Lie algebras of Block type ⋮ A cohomological characterization of Leibniz central extensions of Lie algebras ⋮ Verma Modules Over Generalized Block AlgebrasB(b⁽¹⁾,b⁽²⁾) ⋮ Verma modules over Virasoro-like algebras ⋮ Second cohomology of generalized Cartan type \(S\) Lie algebras in characteristic zero ⋮ Whittaker modules over Virasoro-like algebra ⋮ Generalized Virasoro and super-Virasoro algebras and modules of the intermediate series ⋮ Derivations of the nongraded Witt algebra with coefficients in tensor modules ⋮ STRUCTURE OF THE LIE ALGEBRAS RELATED TO THOSE OF BLOCK

Cites Work

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• Some simple subalgebras of generalized Block algebras
• New Simple Lie Algebras of Prime Characteristic
• On Torsion-Free Abelian Groups and Lie Algebras
• Derivations, isomorphisms, and second cohomology of generalized Witt algebras