A characterisation of Lie algebras via algebraic exponentiation

DOI10.1016/j.aim.2018.10.034zbMath1439.17008arXiv1711.00689OpenAlexW2766772373WikidataQ129022370 ScholiaQ129022370MaRDI QIDQ1628421

Xabier García-Martínez, Tim Van der Linden

Publication date: 4 December 2018

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1711.00689

zbMATH Keywords

Lie algebraalgebraic exponentiationlocally algebraically Cartesian closed category

Mathematics Subject Classification ID

Identities, free Lie (super)algebras (17B01) Special categories (18B99) General nonassociative rings (17A99) Special properties of functors (faithful, full, etc.) (18A22) Closed categories (closed monoidal and Cartesian closed categories, etc.) (18D15) Categories of algebras (08C05)

Related Items (11)

Algebraic exponentiation for Lie algebras ⋮ Associativity and the cosmash product in operadic varieties of algebras ⋮ Algebras with representable representations ⋮ A characterisation of Lie algebras amongst anti-commutative algebras ⋮ Abelian extensions and crossed modules of Hom-Lie algebras ⋮ Commutative Lie algebras and commutative cohomology in characteristic 2 ⋮ 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 ⋮ On the capability of Hom-Lie algebras

Uses Software

• SINGULAR

Cites Work

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