Central Extensions of Steinberg Lie Superalgebras of Small Rank

DOI10.1080/00927870701649416zbMath1210.17027arXivmath/0606119OpenAlexW1991302542MaRDI QIDQ5436339

Hongjia Chen, Shikui Shang, Yun Gao

Publication date: 14 January 2008

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

Full work available at URL: https://arxiv.org/abs/math/0606119

zbMATH Keywords

central extensionsSteinberg Lie superalgebras

Mathematics Subject Classification ID

Homological methods in Lie (super)algebras (17B55) Lie (super)algebras associated with other structures (associative, Jordan, etc.) (17B60)

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Universal central extensions of Leibniz superalgebras over superdialgebras ⋮ Corrigendum to ``Universal central extensions of \(\mathfrak{sl}_{m|n}\) over \(\mathbb{Z} / 2\mathbb{Z}\)-graded algebras ⋮ Universal central extensions of direct limits of Lie superalgebras ⋮ Central extensions of matrix Lie superalgebras over \(\mathbb{Z}/2\mathbb{Z}\)-graded algebras ⋮ Universal central extensions of $\mathfrak{sl}(m, n, A)$ over associative superalgebras ⋮ Color cyclic homology and Steinberg Lie color algebras ⋮ Universal central extensions of \(\mathfrak{sl}_{m|n}\) over \(\mathbb{Z}/2\mathbb{Z}\)-graded algebras

Cites Work

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• Central extensions of Lie algebras graded by finite root systems
• On the steinberg lie algebrasst₂(R)
• Lie superalgebras