Braided anti-flexible bialgebras
WebRelative pre-anti-flexible algebras are given and their underlying algebras structures such as pre-anti-flexible family algebras, left and right pre-Lie family algebras, and other are investigated and significant identities linking those introduced structures are derived. In addition, a generalization of the Rota-Baxter operators defined on a ... WebJul 27, 2024 · We introduce braided Lie bialgebras as the infinitesimal version of braided groups. They are Lie algebras and Lie coalgebras with the coboundary of the Lie …
Braided anti-flexible bialgebras
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WebMay 27, 2024 · In this paper, we derive pre-anti-flexible algebras structures in term of zero weight's Rota-Baxter operators defined on anti-flexible algebras, view pre-anti-flexible algebras as a splitting of anti-flexible algebras, introduce the notion of pre-anti-flexible bialgebras and establish equivalences among matched pair of anti-flexible algebras, …
WebMay 5, 2024 · The study of a special case of anti-flexible bialgebras leads to the introduction of anti-flexible Yang-Baxter equation in an anti-flexible algebra which is an … WebWe introduce the concept of braided anti-flexible bialgebra and construct cocycle bicrossproduct anti-flexible bialgebras. As an application, we solve the extending problem for anti-flexible bialgebras by using some non-abelian cohomology theory. Publication: arXiv e-prints Pub Date: July 2024 DOI: 10.48550/arXiv.2208.02221 arXiv: …
WebJul 27, 2024 · Abstract: We introduce the concept of braided anti-flexible bialgebra and construct cocycle bicrossproduct anti-flexible bialgebras. As an application, we solve … WebJul 27, 2024 · We introduce the concept of braided anti-flexible bialgebra and construct cocycle bicrossproduct anti-flexible bialgebras. As an application, we solve the extending problem for anti-flexible bialgebras by using some non-abelian cohomology theory. Submission history From: Tao Zhang [ view email ] [v1] Wed, 27 Jul 2024 16:31:12 UTC …
WebBraided-Lie bialgebras have been introduced by Majid, as the Lie versions of Hopf algebras in braided categories. In this paper we extend previous work of Majid and of ours to show that there is a braided-Lie bialgebra associated to each inclusion of Kac-Moody bialgebras. Doing so, we obtain many new examples of infinite-dimensional braided-Lie …
WebAbstract. We establish a bialgebra theory for anti-flexible algebras in this paper. We introduce the notion of an anti-flexible bialgebra which is equivalent to a Manin triple of … camp pants womenWebIn this paper, we derive pre-anti-flexible algebras structures in term of zero weight’s Rota-Baxter operators, built underlying left-symmetric algebras, view pre-anti-flexible algebras as a splitting of anti-flexible algebras, introduce pre-anti-flexible bialgebras and establish its equivalences among matched pair of anti-flexible algebras and … fischl ascension materialsWebMar 24, 2000 · Braided anti-flexible bialgebras Preprint Jul 2024 Tao Zhang Hui-Jun Yao View Show abstract On the quasitriangular structures of abelian extensions of ℤ 2 Article Jun 2024 Kun Zhou Gongxiang Liu... fischl artifact setsWebarXiv:2208.02221v1 [math.RA] 27 Jul 2024 Braided anti-flexible bialgebras TaoZhang,Hui-JunYao Abstract We introduce the concept of braided anti-flexible bialgebra and construct camp pants fashion novaWebIn this work, we provide a q q -generalization of flexible algebras and related bialgebraic structures, including center-symmetric (also called anti-flexible) algebras, and their bialgebras. Their basic properties are derived and discussed. Their connection with known algebraic structures, previously developed in the literature, is established. camp parks ca 42a reclassWebMay 5, 2024 · The study of a special case of anti-flexible bialgebras leads to the introduction of anti-flexible Yang-Baxter equation in an anti-flexible algebra which is an analogue of the classical Yang-Baxter equation in a Lie algebra or the associative Yang-Baxter equation in an associative algebra. fischl ascension matsWebnatural idea is whether we can obtain braided Lie bialgebras (called generalized H-Lie bialgebras in 11] [12]) from braided infinitesimal Hopf algebras. This [becomes our motivation of writing this paper. ... H-anti-cocommutativity: δ τδ=−, (2) H-coJacobi identity: camp panther fridge