A characterisation of Lie algebras amongst anti-commutative algebras

DOI10.1016/j.jpaa.2019.02.018zbMath1480.17002arXiv1701.05493OpenAlexW2786801157WikidataQ115345365 ScholiaQ115345365MaRDI QIDQ2001427

Xabier García-Martínez, Tim Van der Linden

Publication date: 3 July 2019

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1701.05493

zbMATH Keywords

semi-abelian categoryalgebraic exponentiationalgebraically coherentlocally algebraically Cartesian closed

Mathematics Subject Classification ID

Identities, free Lie (super)algebras (17B01) Special categories (18B99) Special properties of functors (faithful, full, etc.) (18A22) Closed categories (closed monoidal and Cartesian closed categories, etc.) (18D15) Categories of algebras (08C05) Nonassociative algebras satisfying other identities (17A30)

Related Items (12)

Algebraic exponentiation for Lie algebras ⋮ Unnamed Item ⋮ Algebraic logoi ⋮ Associativity and the cosmash product in operadic varieties of algebras ⋮ Algebras with representable representations ⋮ On the ``three subobjects lemma and its higher-order generalisations ⋮ On some properties of Lie-centroids of Leibniz algebras ⋮ Actor of a crossed module of dialgebras via tetramultipliers ⋮ Non-associative Algebras ⋮ Distributive laws between the Three Graces ⋮ The algebraic and geometric classification of antiassociative algebras ⋮ On the capability of Hom-Lie algebras

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