Outer restricted derivations of nilpotent restricted Lie algebras

DOI10.1090/S0002-9939-2012-11316-4zbMath1295.17016arXiv1102.2629MaRDI QIDQ4911554

Salvatore Siciliano, Jörg Feldvoss, Thomas S. Weigel

Publication date: 19 March 2013

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1102.2629

zbMATH Keywords

free moduleHeisenberg algebratorusnilpotent Lie algebrarestricted Lie algebrarestricted cohomologyabelian p-idealmaximal abelian p-idealmaximal p-idealnilpotent outer restricted derivationouter restricted derivationp-supplementp-unipotent restricted Lie algebrarestricted derivation

Mathematics Subject Classification ID

Automorphisms, derivations, other operators for Lie algebras and super algebras (17B40) Solvable, nilpotent (super)algebras (17B30) Modular Lie (super)algebras (17B50)

Related Items (3)

Symplectic double extensions for restricted quasi-Frobenius Lie (super)algebras ⋮ Derivations, extensions, and rigidity of subalgebras of the Witt algebra ⋮ Double extensions of restricted Lie (super)algebras

Cites Work

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• Nichtabelsche p-Gruppen besitzen äußere p-Automorphismen
• On the cohomology of restricted lie algebras
• Restricted Lie Algebras of Characteristic p
• Cohomology of Restricted Lie Algebras
• Representations of Restricted Lie Algebras of Characteristic p
• A Note on Automorphisms and Derivations of Lie Algebras
• The Existence of Outer Automorphisms of Some Nilpotent Groups of Class 2

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