Bialgebras, the classical Yang-Baxter equation and Manin triples for 3-Lie algebras
From MaRDI portal
Publication:2665884
DOI10.4310/ATMP.2019.v23.n1.a2zbMath1479.17008arXiv1604.05996WikidataQ127200287 ScholiaQ127200287MaRDI QIDQ2665884
Li Guo, Cheng-Ming Bai, Yun He Sheng
Publication date: 19 November 2021
Published in: Advances in Theoretical and Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1604.05996
3-Lie classical Yang-Baxter equation3-pre-Lie algebradouble construction 3-Lie bialgebralocal cocycle 3-Lie bialgebraternary O-operator
Lie bialgebras; Lie coalgebras (17B62) Bialgebras (16T10) Ternary compositions (17A40) Yang-Baxter equations (16T25)
Related Items (23)
Cohomologies and relative Rota-Baxter-Nijenhuis structures of 3-LieRep pairs ⋮ On 3-Lie algebras with a derivation ⋮ Symplectic, product and complex structures on 3-Lie algebras ⋮ The infinite dimensional unital Nambu–Poisson algebra of order 3 ⋮ Relative Rota-Baxter operators and symplectic structures on Lie-Yamaguti algebras ⋮ Twilled 3-Lie algebras, generalized matched pairs of 3-Lie algebras and \(\mathcal{O}\)-operators ⋮ Yau-type ternary Hom-Lie bialgebras ⋮ Deformations and cohomologies of embedding tensors on 3-Lie algebras ⋮ On classification of \((n+1)\)-dimensional \(n\)-Hom-Lie algebras with nilpotent twisting maps ⋮ On classification of (\(n +1\))-dimensional \(n\)-Hom-Lie algebras for \(n =4,5,6\) and nilpotent twisting map with 2-dimensional kernel ⋮ Cohomologies and generalized derivations of \(n\)-Lie algebras ⋮ Cohomologies and deformations of O-operators on Lie triple systems ⋮ On ideals and derived and central descending series of \(n\)-ary Hom-algebras ⋮ Cohomology and relative Rota-Baxter-Nijenhuis structures on \(\mathsf{LieYRep}\) pairs ⋮ Lie \(n\)-algebras and cohomologies of relative Rota-Baxter operators on \(n\)-Lie algebras ⋮ Lie 3-algebras and deformations of relative Rota-Baxter operators on 3-Lie algebras ⋮ Unnamed Item ⋮ Quadratic and symplectic structures on 3-(Hom)–ρ-Lie algebras ⋮ Infinitesimal unitary Hopf algebras and planar rooted forests ⋮ Induced 3-Lie algebras, superalgebras and induced representations ⋮ Structure on the simple canonical Nambu Rota-Baxter 3-Lie algebra \(A_{\partial}\) ⋮ 3-post-Lie algebras and relative Rota-Baxter operators of nonzero weight on 3-Lie algebras ⋮ Deformations and cohomology theory of Rota-Baxter 3-Lie algebras of arbitrary weights
This page was built for publication: Bialgebras, the classical Yang-Baxter equation and Manin triples for 3-Lie algebras