Universal coverings of Steinberg Lie algebras of small characteristic

DOI10.1016/j.jalgebra.2006.10.044zbMath1136.17016arXivmath/0512188OpenAlexW2027380549WikidataQ115351500 ScholiaQ115351500MaRDI QIDQ877705

Yun Gao, Shikui Shang

Publication date: 3 May 2007

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

Full work available at URL: https://arxiv.org/abs/math/0512188

zbMATH Keywords

universal coveringsecond homology groupsSteinberg Lie algebra

Mathematics Subject Classification ID

Homological methods in Lie (super)algebras (17B55)

Related Items (14)

Universal central extensions of Leibniz superalgebras over superdialgebras ⋮ Finite presentability of universal central extensions of \(\mathfrak{sl}_n\). II ⋮ The structures for the loop-Witt algebra ⋮ Universal central extensions of direct limits of Lie superalgebras ⋮ Central extensions of matrix Lie superalgebras over \(\mathbb{Z}/2\mathbb{Z}\)-graded algebras ⋮ Finite presentability of universal central extensions of \(\mathfrak{sl}_n(R)\) ⋮ Universal central extensions of $\mathfrak{sl}(m, n, A)$ over associative superalgebras ⋮ Extended Affine Lie Algebras and Other Generalizations of Affine Lie Algebras – A Survey ⋮ Color cyclic homology and Steinberg Lie color algebras ⋮ Central Extensions of Steinberg Lie Superalgebras of Small Rank ⋮ Second Homology Groups and Universal Coverings of Steinberg Leibniz Algebras of Small Characteristic ⋮ Universal central extension of direct limits of Hom-Lie algebras ⋮ Universal central extensions of \(\mathfrak{sl}_{m|n}\) over \(\mathbb{Z}/2\mathbb{Z}\)-graded algebras ⋮ Leibniz central extensions of Lie superalgebras

Cites Work

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• Kähler differentials and coverings of complex simple Lie algebras extended over a commutative algebra
• Barbilian planes
• 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
• Nonassociative coefficient algebras for Steinberg unitary Lie algebras
• Steinberg unitary Lie algebras and skew-dihedral homology
• Quantum tori and the structure of elliptic quasi-simple Lie algebras
• Central extensions of Lie algebras graded by finite root systems
• On the steinberg lie algebrasst₂(R)

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