Split regular Hom-Leibniz color 3-algebras

DOI10.4064/cm7671-9-2018zbMath1477.17046arXiv1807.04609OpenAlexW2871041277WikidataQ123283741 ScholiaQ123283741MaRDI QIDQ5226500

I. B. Kaĭgorodov, Yury Popov

Publication date: 31 July 2019

Published in: Colloquium Mathematicum (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1807.04609

zbMATH Keywords

root spaceLie triple systemstructure theorysimple componentFilippov algebracolor algebrasplit algebraLeibniz 3-algebrahomalgebra

Mathematics Subject Classification ID

Structure theory for nonassociative algebras (17A60) Leibniz algebras (17A32) Ternary compositions (17A40)

Related Items (2)

Fine decompositions of algebraic systems induced by bases ⋮ Inductive Description of Quadratic Lie and Pseudo-Euclidean Jordan Triple Systems

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• \(q\)-deformation of the Virasoro algebra with central extension
• The structure of split regular BiHom-Lie algebras
• On split Leibniz superalgebras
• Classification of simple linearly compact \(n\)-Lie superalgebras
• Classification of linearly compact simple algebraic \(N=6\) 3-algebras
• On the structure of split Leibniz triple systems
• On split Leibniz algebras
• On simple split Lie triple systems
• Rota-Baxter multiplicative 3-ary Hom-Nambu-Lie algebras
• On foundation of the generalized Nambu mechanics
• Generalized derivations of multiplicative \(n\)-ary \(\Hom\text{-}\Omega\) color algebras
• On split regular Hom-Lie superalgebras
• On split regular BiHom-Lie superalgebras
• The structure of locally finite split Lie algebras
• \(k\)-modules over linear spaces by \(n\)-linear maps admitting a multiplicative basis
• Variety of Hom-Sabinin algebras and related algebra subclasses
• \((n+1)\)-ary derivations of semisimple Filippov algebras
• Deformations of Lie algebras using \(\sigma\)-derivations
• Split 3-Leibniz algebras
• Quadratic Hom-Lie triple systems
• Poincaré-Birkhoff-Witt theorem for Leibniz \(n\)-algebras
• Quasi-hom-Lie algebras, central extensions and 2-cocycle-like identities
• Hom-algebra structures
• Enveloping algebras of Hom-Lie algebras
• Leibniz algebras in characteristic
• Leibniz n-algebras
• Braided monoidal categories and Doi–Hopf modules for monoidal Hom-Hopf algebras
• The affineness criterion for quantum Hom-Yetter–Drinfel’d modules
• Generalized derivations of (color)n-ary algebras
• On split regular Hom-Lie color algebras
• Split 3-Lie algebras
• On $(n+1)$-ary derivations of simple $n$-ary Mal′tsev algebras
• Representations and cohomologies of Hom-Lie–Yamaguti algebras with applications
• The structure of split regular Hom-Poisson algebras
• Split Twisted Inner Derivation Triple Systems
• Generalization of n-ary Nambu algebras and beyond
• n-ary algebras: a review with applications
• Hom-Lie Admissible Hom-Coalgebras and Hom-Hopf Algebras
• Hom-algebras and homology
• On split regular Hom-Leibniz algebras
• On a ternary generalization of Jordan algebras
• Decompositions of linear spaces induced by n-linear maps
• Solvability of Finite-Dimensionaln-ary Commutative Leibniz Algebras of Characteristic 0
• WEIGHT MODULES OVER SPLIT LIE ALGEBRAS
• On split Leibniz triple systems
• Drinfeld twists for monoidal Hom-bialgebras
• Algebraic vs physical N = 6 3-algebras

This page was built for publication: Split regular Hom-Leibniz color 3-algebras