Leibniz Algebras Graded by Finite Root Systems

DOI10.1142/S1005386710000416zbMath1213.17003arXivmath/0510545WikidataQ123188470 ScholiaQ123188470MaRDI QIDQ3578439

Dong Liu, Hu, Naihong

Publication date: 20 July 2010

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

Full work available at URL: https://arxiv.org/abs/math/0510545

zbMATH Keywords

graded algebrasLeibniz algebrasdialgebras

Mathematics Subject Classification ID

Leibniz algebras (17A32)

Related Items (6)

On the toroidal Leibniz algebras ⋮ Leibniz algebras admitting a multiplicative basis ⋮ Leibniz algebras graded by finite root systems of type \(C_l\) ⋮ Steinberg-Leibniz algebras and superalgebras ⋮ The Cayley–Dickson process for dialgebras ⋮ On the Structure of Graded Leibniz Algebras

Cites Work

• On the toroidal Leibniz algebras
• The arithmetic theory of loop groups
• Central extensions of Lie algebras
• Lie algebras graded by finite root systems and the intersection matrix algebras of Slodowy
• Leibniz homology of unitary Lie algebras
• Universal enveloping algebras of Leibniz algebras and (co)homology
• Steinberg-Leibniz algebras and superalgebras
• Lie algebras graded by finite root systems and intersection matrix algebras
• Central extensions of Lie algebras graded by finite root systems
• Leibniz Central Extensions on Some Infinite-Dimensional Lie Algebras
• The Second Leibniz Homology Group for Kac-Moody Lie Algebras
• CUP-Product for Leibnitz Cohomology and Dual Leibniz Algebras.
• Lie superalgebras graded by P ( n ) and Q ( n )

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