The actor of a crossed module in lie algebras

DOI10.1080/00927879808826262zbMath0922.17013OpenAlexW1990857852MaRDI QIDQ3838328

Manuel Ladra Gonzalez, José Manuel Casas Mirás

Publication date: 9 August 1998

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

Full work available at URL: https://doi.org/10.1080/00927879808826262

zbMATH Keywords

derivationsLie algebrascrossed squarecategory of crossed modules

Mathematics Subject Classification ID

Structure theory for Lie algebras and superalgebras (17B05) Automorphisms, derivations, other operators for Lie algebras and super algebras (17B40) Categorical algebra (18E99)

Related Items (15)

An intrinsic approach to the non-abelian tensor product via internal crossed squares ⋮ Actions in the Category of Precrossed Modules in Lie Algebras ⋮ Universal central extension and the second invariant of homology of crossed modules in lie algebras ⋮ A natural extension of the universal enveloping algebra functor to crossed modules of Leibniz algebras ⋮ The non-abelian tensor and exterior products of crossed modules of Lie superalgebras ⋮ On stem covers and the universal central extensions of Lie crossed modules ⋮ Unnamed Item ⋮ SEMI-COMPLETE CROSSED MODULES OF LIE ALGEBRAS ⋮ Actor of a crossed module of Leibniz algebras ⋮ Capability of Crossed Modules of Lie Algebras ⋮ Universal strict general actors and actors in categories of interest ⋮ Cohomological characterizations of non-abelian extensions of strict Lie 2-algebras ⋮ Crossed squares of cocommutative Hopf algebras ⋮ Action theory of alternative algebras ⋮ Representability of actions in the category of (Pre)crossed modules in Leibniz algebras

Cites Work

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• Central extensions of Lie algebras
• Cohomology of crossed Lie algebras and additive Milnor's \(K\)- theory
• Semi-Complete Crossed Modules and Holomorphs of Groups
• COMMUTATOR, NILPOTENCY, AND SOLVABILITY IN CATEGORIES

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