Universal Central Extensions of the Matrix Leibniz Superalgebras 𝔰𝔩(m,n, 𝒜)

DOI10.1080/00927870701246577zbMath1195.17003arXivmath/0610579OpenAlexW2008398883MaRDI QIDQ5756447

Dong Liu, Hu, Naihong

Publication date: 4 September 2007

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

Full work available at URL: https://arxiv.org/abs/math/0610579

zbMATH Keywords

cyclic homologyLeibniz superalgebrakernel of central extensionSteinberg superalgebra

Mathematics Subject Classification ID

(Co)homology of rings and associative algebras (e.g., Hochschild, cyclic, dihedral, etc.) (16E40) Homological methods in Lie (super)algebras (17B55) Superalgebras (17A70) Leibniz algebras (17A32)

Related Items (6)

Universal central extensions of Leibniz superalgebras over superdialgebras ⋮ The structure of Leibniz superalgebras admitting a multiplicative basis ⋮ The structures for the loop-Witt algebra ⋮ On split Leibniz superalgebras ⋮ Steinberg-Leibniz algebras and superalgebras ⋮ Leibniz central extensions of Lie superalgebras

Cites Work

• Leibniz homology of unitary Lie algebras
• Universal enveloping algebras of Leibniz algebras and (co)homology
• Steinberg unitary Lie algebras and skew-dihedral homology
• Steinberg unitary Leibniz algebras
• Leibniz Central Extensions on Some Infinite-Dimensional Lie Algebras
• LEIBNIZ SUPERALGEBRAS AND CENTRAL EXTENSIONS
• Central Quotients and Coverings of Steinberg Unitary Lie Algebras
• Central extensions of Lie superalgebras

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