Universal algebra of a Hom-Lie algebra and group-like elements

DOI10.1016/j.jpaa.2017.06.012zbMath1416.16024arXiv1505.02439OpenAlexW2963526807WikidataQ115345401 ScholiaQ115345401MaRDI QIDQ1689594

Camille Laurent-Gengoux, Joana Teles, Abdenacer Makhlouf

Publication date: 12 January 2018

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1505.02439

zbMATH Keywords

quantum deformationsHom-Lie algebraHom-Hopf algebra

Mathematics Subject Classification ID

Deformations of associative rings (16S80) Universal enveloping algebras of Lie algebras (16S30) Hopf algebras and their applications (16T05)

Related Items (21)

$\alpha$-type Hochschild cohomology of Hom-associative algebras and Hom-bialgebras ⋮ COMPLEX PRODUCT STRUCTURES ON HOM-LIE ALGEBRAS ⋮ Central invariants and enveloping algebras of braided Hom-Lie algebras ⋮ Geometry of almost Kenmotsu Hom-Lie algebras ⋮ Hom-Lie algebroids, Hom-Lie bialgebroids and Hom-Courant algebroids ⋮ On Hom-groups and Hom-group actions ⋮ Ordered Hom-groups based on Hom-compatibility ⋮ Drinfeld codoubles of Hom-Hopf algebras ⋮ Hom-Lie group and hom-Lie algebra from Lie group and Lie algebra perspective ⋮ CoKähler and cosymplectic Hom-Lie algebras ⋮ Rota–Baxter operators on BiHom-associative algebras and related structures ⋮ Hom-Lie algebras and Hom-Lie groups, integration and differentiation ⋮ Derivation Hom-Lie 2-algebras and non-abelian extensions of regular Hom-Lie algebras ⋮ Para-Sasakian geometry on Hom-Lie groups ⋮ Universal central extensions and non-abelian tensor product of hom-Lie–Rinehart algebras ⋮ Hom-Lie-Hopf algebras ⋮ Lagrange's theorem for Hom-groups ⋮ Variety of Hom-Sabinin algebras and related algebra subclasses ⋮ Hom-groups, representations and homological algebra ⋮ Ado theorem for nilpotent Hom–Lie algebras ⋮ Almost contact Hom-Lie algebras and Sasakian Hom-Lie algebras

Cites Work

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• Cyclic homology of differential operators, the Virasoro algebra and a \(q\)-analogue
• Deformations of Lie algebras using \(\sigma\)-derivations
• Hom-algebra structures
• Enveloping algebras of Hom-Lie algebras
• Hom-bialgebras and comodule Hom-algebras
• Hom-alternative algebras and Hom-Jordan algebras
• Notes on 1-parameter formal deformations of Hom-associative and Hom-Lie algebras
• Hom-Lie Admissible Hom-Coalgebras and Hom-Hopf Algebras
• Hom-algebras and homology
• HOM-ALGEBRAS AND HOM-COALGEBRAS

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