Actor of a crossed module of dialgebras via tetramultipliers

DOI10.15672/hujms.701217zbMath1488.17003arXiv2104.10718OpenAlexW3177371480MaRDI QIDQ5859805

Rafael Fernández-Casado, Xabier García-Martínez, José Manuel Casas Mirás, Emzar Khmaladze

Publication date: 17 November 2021

Published in: Hacettepe Journal of Mathematics and Statistics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2104.10718

zbMATH Keywords

representationcrossed moduleactordialgebratetramultiplier

Mathematics Subject Classification ID

Leibniz algebras (17A32) Nonassociative algebras satisfying other identities (17A30) Protomodular categories, semi-abelian categories, Mal'tsev categories (18E13)

Cites Work

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• Extensions and obstructions for rings
• Central extensions of Lie algebras
• Groupoids and crossed objects in algebraic topology
• Universal enveloping algebras of Leibniz algebras and (co)homology
• A characterisation of Lie algebras via algebraic exponentiation
• Non-abelian extensions of Lie 2-algebras
• Semidirect products and crossed modules in monoids with operations
• A characterisation of Lie algebras amongst anti-commutative algebras
• Adjunction between crossed modules of groups and algebras
• Universal enveloping crossed module of a Lie crossed module
• Universal strict general actors and actors in categories of interest
• Cohomological characterizations of non-abelian extensions of strict Lie 2-algebras
• Obstruction theory in algebraic categories. II
• Cohomology and representations of associative algebras
• Extensions, crossed modules and internal categories in categories of groups with operations
• Actor of a crossed module of Leibniz algebras
• Algebras with representable representations
• Leibniz 2-Algebras and Twisted Courant Algebroids
• On Crossed Modules in Modified Categories of Interest
• A nonabelian two-dimensional cohomology for associative algebras
• COMMUTATOR, NILPOTENCY, AND SOLVABILITY IN CATEGORIES
• More on crossed modules in Lie, Leibniz, associative and diassociative algebras
• Combinatorial homotopy. II