Construction and characterization of \(n\)-ary hom-bialgebras and \(n\)-ary infinitesimal hom-bialgebras

DOI10.1007/978-3-031-32009-5_16OpenAlexW4387014455MaRDI QIDQ6119345

Sergei D. Silvestrov, Sami Mabrouk, Fattoum Harrathi, Mahouton Norbert Hounkonnou

Publication date: 22 March 2024

Published in: Non-commutative and Non-associative Algebra and Analysis Structures (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-031-32009-5_16

zbMATH Keywords

Hom-associative algebras\(n\)-ary hom-bialgebras of associative type\(n\)-ary infinitesimal hom-bialgebras of associative typeinfinitesimal hom-bialgebras

Mathematics Subject Classification ID

Other (n)-ary compositions ((n ge 3)) (17A42) Hom-Lie and related algebras (17B61) (non-Lie) Hom algebras and topics (17D30)

Cites Work

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• \(q\)-deformation of the Virasoro algebra with central extension
• Hom-Lie superalgebras and Hom-Lie admissible superalgebras
• Cohomology and formal deformations of alternative algebras
• Leibniz and Lie algebra structures for Nambu algebra
• Graded quasi-Lie algebras of Witt type
• Theory of \(n\)-Lie algebras
• Characterizations of the quantum Witt algebra
• On foundation of the generalized Nambu mechanics
• The characterizations of the quantum Witt algebra at roots of unity
• Deformations of Lie algebras using \(\sigma\)-derivations
• Quasi-hom-Lie algebras, central extensions and 2-cocycle-like identities
• Hom-algebra structures
• Enveloping algebras of Hom-Lie algebras
• Assoziative Tripelsysteme
• Hom-bialgebras and comodule Hom-algebras
• Monoidal Hom–Hopf Algebras
• Triple products and Yang–Baxter equation. I. Octonionic and quaternionic triple systems
• Triple products and Yang–Baxter equation. II. Orthogonal and symplectic ternary systems
• Generalization of n-ary Nambu algebras and beyond
• Notes on 1-parameter formal deformations of Hom-associative and Hom-Lie algebras
• Lie Color and Hom-Lie Algebras of Witt Type and Their Central Extensions
• Hom-algebras and homology
• N-ary algebras
• Coalgebras and Bialgebras in Combinatorics
• A (p,q)-deformed Virasoro algebra
• The cubic chessboard
• Hypersymmetry: A ℤ3-graded generalization of supersymmetry
• Generalized Hamiltonian Dynamics
• HOM-ALGEBRAS AND HOM-COALGEBRAS
• On special classes of n-algebras
• Ternary Rings
• A Characterization of the Jacobson Radical in Ternary Algebras
• On the associative analog of Lie bialgebras

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