Dual Space Derivations and H2(L, F) of Modular Lie Algebras

DOI10.4153/CJM-1987-055-0zbMath0631.17005MaRDI QIDQ3767467

Rolf Farnsteiner

Publication date: 1987

Published in: Canadian Journal of Mathematics (Search for Journal in Brave)

zbMATH Keywords

central extensionsmodular Lie algebrassecond cohomology groupgraded Cartan type Lie algebrasdual space derivations

Mathematics Subject Classification ID

Automorphisms, derivations, other operators for Lie algebras and super algebras (17B40) Graded Lie (super)algebras (17B70) Cohomology of Lie (super)algebras (17B56) Modular Lie (super)algebras (17B50)

Related Items (14)

Restricted one-dimensional central extensions of restricted simple Lie algebras ⋮ Derivations and central extensions of finitely generated graded Lie algebras ⋮ Presenting the graded Lie algebra associated to the Nottingham group ⋮ The first cohomology of \(\mathfrak{sl}(2, 1)\) with coefficients in \(\chi\)-reduced Kac modules and simple modules ⋮ Special odd Lie superalgebras in prime characteristic ⋮ Central extensions and \(H^ 1(L, L^*)\) of the graded Lie algebras of Cartan type ⋮ Superderivations for modular graded Lie superalgebras of Cartan-type ⋮ Low-dimensional cohomology of Lie superalgebra \(\mathfrak{sl}_m|_n\) with coefficients in Witt or special superalgebras ⋮ Gradings of non-graded Hamiltonian Lie algebras ⋮ Second Cohomology of the Modular Lie Superalgebra of Cartan Type K ⋮ Loop algebras of Zassenhaus algebras in characteristic three ⋮ Local systems in simple finitary lie algebras ⋮ Shapiro's lemma and its consequences in the cohomology theory of modular Lie algebras ⋮ Extension functors of modular Lie algebras

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