Crossed modules and non-abelian extensions of Rota-Baxter Leibniz algebras

DOI10.1016/j.geomphys.2023.104906OpenAlexW4381186468WikidataQ123330673 ScholiaQ123330673MaRDI QIDQ6170730

Yanhong Guo, Bo Hou

Publication date: 10 August 2023

Published in: Journal of Geometry and Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.geomphys.2023.104906

zbMATH Keywords

automorphismcrossed moduleLeibniz algebraRota-Baxter operatornon-abelian extension

Mathematics Subject Classification ID

(Co)homology of rings and associative algebras (e.g., Hochschild, cyclic, dihedral, etc.) (16E40) Nonabelian homological algebra (category-theoretic aspects) (18G50) Leibniz algebras (17A32) Automorphisms, derivations, other operators (nonassociative rings and algebras) (17A36)

Related Items (1)

2-term averaging \(L_{\infty}\)-algebras and non-abelian extensions of averaging Lie algebras

Cites Work

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• Non-abelian cohomology of extensions of Lie algebras as Deligne groupoid
• Derived brackets and sh Leibniz algebras
• An analytic problem whose solution follows from a simple algebraic identity
• From Atiyah classes to homotopy Leibniz algebras
• An interpretation of the cohomology groups \(H^ n(G,M)\)
• Coalgebraic approach to the Loday infinity category, stem differential for \(2n\)-ary graded and homotopy algebras
• Quantum analogy of Poisson geometry, related dendriform algebras and Rota-Baxter operators
• Cohomologie et groupe de Steinberg rélatifs
• Universal enveloping algebras of Leibniz algebras and (co)homology
• Renormalization in quantum field theory and the Riemann-Hilbert problem. I: The Hopf algebra structure of graphs and the main theorem
• Deformations of associative Rota-Baxter operators
• Non-Abelian extensions of infinite-dimensional Lie groups
• Cohomology theory in abstract groups. II
• Deformations and homotopy theory of relative Rota-Baxter Lie algebras
• Leibniz bialgebras, relative Rota-Baxter operators, and the classical Leibniz Yang-Baxter equation
• On the infinity category of homotopy Leibniz algebras
• EXTENSIONS OF (SUPER) LIE ALGEBRAS
• Leibniz 2-Algebras and Twisted Courant Algebroids
• Baxter algebras and combinatorial identities. I
• Automorphisms of Group Extensions
• Combinatorial homotopy. II
• Non-abelian extensions of Rota-Baxter Lie algebras and inducibility of automorphisms

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