Steinberg unitary Lie algebras and skew-dihedral homology
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Publication:1907174
DOI10.1006/jabr.1996.0013zbMath0837.17011OpenAlexW1972816166WikidataQ115396136 ScholiaQ115396136MaRDI QIDQ1907174
Publication date: 21 May 1996
Published in: Journal of Algebra (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1006/jabr.1996.0013
unitary Lie algebrasuniversal central extensionskew-dihedral homology groupSteinberg unitary Lie algebras
Homological methods in Lie (super)algebras (17B55) Lie (super)algebras associated with other structures (associative, Jordan, etc.) (17B60) Steinberg groups and (K_2) (19C99)
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On the Hochschild Cohomologies of Associative Conformal Algebras with a Finite Faithful Representation ⋮ Central extensions of generalized orthosymplectic Lie superalgebras ⋮ Remarks on the second homology groups of queer Lie superalgebras ⋮ Involutive Lie algebras graded by finite root systems and compact forms of IM algebras ⋮ Universal coverings of Steinberg Lie algebras of small characteristic ⋮ Ideals and simplicity of unitary Lie algebras ⋮ Finite dimensional irreducible representations of elementary unitary Lie algebras over quantum tori ⋮ 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 ⋮ Second homology of generalized periplectic Lie superalgebras ⋮ Steinberg unitary Leibniz algebras ⋮ Steinberg-Leibniz algebras and superalgebras ⋮ Central Extensions of Steinberg Lie Superalgebras of Small Rank ⋮ Universal Central Extensions of the Matrix Leibniz Superalgebras 𝔰𝔩(m,n, 𝒜) ⋮ Associating vertex algebras with the unitary Lie algebra ⋮ Second Homology Groups and Universal Coverings of Steinberg Leibniz Algebras of Small Characteristic ⋮ Invariant Symmetric Bilinear Forms and Derivation Algebras of Unitary Lie Algebras
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