Braided anti-flexible bialgebras
http://arxiv-export3.library.cornell.edu/abs/2005.05064 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 …
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, … WebWe introduce the concept of braided anti-flexible bialgebra and construct cocycle bicrossproduct anti-flexible bialgebras. As an application, we solve the extending …
WebQ-GENERALIZED (ANTI -) FLEXIBLE ALGEBRAS AND BIALGEBRAS 73 The (anti-) flexible algebras were well investigated and their main proper-ties well scrutinized in a series of works [12,14,15,17,18,22–24] (and references therein). Unfortunately, to our best knowledge of the literature, their char-acterization in terms of bialgebras, bimodules ... WebarXiv: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
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 … 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 …
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. It is unexpected consequence that both the anti ...
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 … knotted rhomboidWebMar 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... knotted riad rugWebnatural 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: knotted ribbon ponytail holderWebSep 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... knotted quiltWebIn 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 … red green real nameWebBraided anti-flexible bialgebras. We introduce the concept of braided anti-flexible bialgebra and construct cocycle bicrossproduct anti-flexible bialgebras. As an application, we solve … knotted ringWebJul 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 … knotted road press