Braided anti-flexible bialgebras
WebSep 1, 2007 · Besides, by keeping the spirit that dendriform algebras are viewed as splitted associative algebras ( [4]), pre-anti-flexible algebras are regarded as splitted anti-flexible algebras and more... WebMay 27, 2024 · Abstract In 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 …
Braided anti-flexible bialgebras
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WebSpecial class of pre-anti-flexible bialgebras leads to the establishment of the pre-anti-flexible Yang-Baxter equation which is the same with D -equation. Symmetric solution of … 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 …
Webnatural 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: 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 …
WebThe 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. 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 …
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. Bibliographic data [ Enable Bibex ( What is Bibex? )] Submission history From: Tao …
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 … first robotics san diegoWebJul 27, 2024 · Abstract: We introduce the concept of braided anti-flexible bialgebra and construct cocycle bicrossproduct anti-flexible bialgebras. As an application, we solve … first robotics safety glassesWebMar 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... first robotics sign uphttp://arxiv-export3.library.cornell.edu/abs/2005.05064 first robotics south carolinaWebDec 6, 2024 · Abstract We introduce the concept of braided anti-flexible bialgebra and construct cocycle bicrossproduct anti-flexible bialgebras. As an application, we solve … first robotics safety manual 2022WebMay 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. first robotics twitch tvWebBraided anti-flexible bialgebras. We introduce the concept of braided anti-flexible bialgebra and construct cocycle bicrossproduct anti-flexible bialgebras. As an application, we solve … first robotics san jose