Central Extensions and Hom-Quadratic Hom-Novikov Color Algebras

DOI10.1007/978-3-031-04616-2_20OpenAlexW4312299970MaRDI QIDQ6186887

Bakary Manga, Ibrahima Bakayoko

Publication date: 5 February 2024

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

Full work available at URL: https://doi.org/10.1007/978-3-031-04616-2_20

zbMATH Keywords

central extensionslinear operatorstwistingHom-Novikov color algebraHom-quadratic Hom-Novikov color algebras

Mathematics Subject Classification ID

Nonassociative rings and algebras (17-XX)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Hom-Lie superalgebras and Hom-Lie admissible superalgebras
• An analytic problem whose solution follows from a simple algebraic identity
• Representations and cocycle twists of color Lie algebras
• Novikov algebras and Novikov structures on Lie algebras
• Derivations and extensions of Lie color algebra
• Complete left-invariant affine structures on nilpotent Lie groups
• Construction of Nijenhuis operators and dendriform trialgebras
• On the Novikov algebra structures adapted to the automorphism structure of a Lie group.
• A Lie algebraic approach to Novikov algebras.
• Renormalization in quantum field theory and the Riemann-Hilbert problem. I: The Hopf algebra structure of graphs and the main theorem
• Deformations of Lie algebras using \(\sigma\)-derivations
• Left-symmetric algebras, or pre-Lie algebras in geometry and physics
• On the structure of free Baxter algebras
• Construction of n-Lie algebras and n-ary Hom-Nambu-Lie algebras
• Hom-Lie Color Algebra Structures
• Hom-Maltsev, Hom-alternative, and Hom-Jordan algebras
• Hom–Novikov algebras
• A Combinatorial Lemma and Its Application to Probability Theory
• Hom-Lie Admissible Hom-Coalgebras and Hom-Hopf Algebras
• Vertex algebras, Kac-Moody algebras, and the Monster
• Baxter algebras and combinatorial identities. II
• QUANTUM BI-HAMILTONIAN SYSTEMS
• A unified algebraic approach to the classical Yang–Baxter equation
• Transitive Novikov algebras on four-dimensional nilpotent Lie algebras
• On the associative analog of Lie bialgebras
• Simple Jordan color algebras arising from associative graded algebras

This page was built for publication: Central Extensions and Hom-Quadratic Hom-Novikov Color Algebras