A new approach to hom-Lie bialgebras
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Publication:397849
DOI10.1016/j.jalgebra.2013.08.046zbMath1345.17002arXiv1304.1954OpenAlexW2962730465WikidataQ112881557 ScholiaQ112881557MaRDI QIDQ397849
Publication date: 12 August 2014
Published in: Journal of Algebra (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1304.1954
\(r\)-matriceshom-left-symmetric algebrashom-Lie algebras\(\mathcal{O}\)-operatorshom-Lie bialgebrasManin triples
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Cites Work
- Unnamed Item
- Unnamed Item
- Hom-Lie 2-algebras
- Hom-Lie algebras with symmetric invariant nondegenerate bilinear forms
- Representations of hom-Lie algebras
- Representations and cohomology of \(n\)-ary multiplicative Hom-Nambu-Lie algebras
- Deformations of Lie algebras using \(\sigma\)-derivations
- Quasi-hom-Lie algebras, central extensions and 2-cocycle-like identities
- Hom-algebra structures
- Hom–Novikov algebras
- Notes on 1-parameter formal deformations of Hom-associative and Hom-Lie algebras
- Hom-algebras and homology
- THE CLASSICAL HOM-YANG-BAXTER EQUATION AND HOM-LIE BIALGEBRAS
- A Hom-version of the affinizations of Balinskii–Novikov and Novikov superalgebras
- Rota–Baxter Hom-Lie–Admissible Algebras
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