-Rota–Baxter Operators, Infinitesimal Hom-bialgebras and the Associative (Bi)Hom-Yang–Baxter Equation

DOI10.4153/CMB-2018-028-8zbMath1460.17027arXiv1802.07287OpenAlexW2964044980WikidataQ129643665 ScholiaQ129643665MaRDI QIDQ5377460

Ling Liu, Florin Panaite, Menini, Claudia, Abdenacer Makhlouf

Publication date: 24 May 2019

Published in: Canadian Mathematical Bulletin (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1802.07287

zbMATH Keywords

Rota-Baxter operatorHom-pre-Lie algebraassociative (bi)Hom-Yang-Baxter equationinfinitesimal Hom-bialgebra

Mathematics Subject Classification ID

Hopf algebras, quantum groups and related topics (16T99) Hom-Lie and related algebras (17B61) Yang-Baxter equations and Rota-Baxter operators (17B38) (non-Lie) Hom algebras and topics (17D30)

Related Items (15)

The construction and deformation of Novikov H-pseudoalgebras ⋮ BiHom-NS-algebras, twisted Rota-Baxter operators and generalized Nijenhuis operators ⋮ BiHom-Lie superalgebra structures and BiHom-Yang-Baxter equations ⋮ BiHom-Novikov algebras and infinitesimal BiHom-bialgebras ⋮ Drinfeld double for infinitesimal BiHom-bialgebras ⋮ Unnamed Item ⋮ Radford (m, n)-biproduct and (m+n)-Yetter-Drinfeld category ⋮ Quasitriangular covariant monoidal BiHom-bialgebras, associative monoidal BiHom-Yang–Baxter equations and Rota–Baxter paired monoidal BiHom-modules ⋮ On split regular BiHom-Leibniz superalgebras ⋮ Tensor products and perturbations of BiHom-Novikov-Poisson algebras ⋮ Matching Hom-setting of Rota-Baxter algebras, dendriform algebras, and pre-Lie algebras ⋮ The Maschke-type theorem and Morita context for BiHom-smash products ⋮ BiHom-pre-Lie algebras, BiHom-Leibniz algebras and Rota-Baxter operators on BiHom-Lie algebras ⋮ Coquasitriangular infinitesimal BiHom-bialgebras and related structures ⋮ Matching Rota-Baxter BiHom-algebras and related algebraic structures

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