Central extensions of matrix Lie superalgebras over \(\mathbb{Z}/2\mathbb{Z}\)-graded algebras

DOI10.1007/s10468-011-9320-4zbMath1329.17022OpenAlexW2461958317MaRDI QIDQ1950438

Hongjia Chen, Nicolas Guay

Publication date: 13 May 2013

Published in: Algebras and Representation Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10468-011-9320-4

zbMATH Keywords

central extensionsLie superalgebrasSteinberg superalgebras

Mathematics Subject Classification ID

Structure theory for Lie algebras and superalgebras (17B05) Homological methods in Lie (super)algebras (17B55) Lie (super)algebras associated with other structures (associative, Jordan, etc.) (17B60)

Related Items (11)

Central extensions of generalized orthosymplectic Lie superalgebras ⋮ Universal central extensions of Leibniz superalgebras over superdialgebras ⋮ Remarks on the second homology groups of queer Lie superalgebras ⋮ Extensions of Lie superalgebras by Heisenberg Lie superalgebras ⋮ Universal central extensions of direct limits of Lie superalgebras ⋮ Twisted affine Lie superalgebra of type \(Q\) and quantization of its enveloping superalgebra ⋮ Universal central extensions of $\mathfrak{sl}(m, n, A)$ over associative superalgebras ⋮ Color cyclic homology and Steinberg Lie color algebras ⋮ Twisted Yangians, twisted quantum loop algebras and affine Hecke algebras of type $BC$ ⋮ Second homology of generalized periplectic Lie superalgebras ⋮ Universal central extensions of \(\mathfrak{sl}_{m|n}\) over \(\mathbb{Z}/2\mathbb{Z}\)-graded algebras

Cites Work

• Twisted affine Lie superalgebra of type \(Q\) and quantization of its enveloping superalgebra
• Quantum queer superalgebra and crystal bases
• Kähler differentials and coverings of complex simple Lie algebras extended over a commutative algebra
• Universal coverings of Steinberg Lie algebras of small characteristic
• Highest weight modules over quantum queer superalgebra \(U_q(\mathfrak {q}(n))\)
• A Künneth formula for the cyclic cohomology of \(\mathbb Z/2\)-graded algebras
• Central extensions of Lie algebras
• Yangian of the queer Lie superalgebra
• LEIBNIZ SUPERALGEBRAS AND CENTRAL EXTENSIONS
• Central Extensions of Steinberg Lie Superalgebras of Small Rank
• Second homology of Lie superalgebras
• Lie superalgebras
• Central extensions of Lie superalgebras
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