Hopf braces and yang-baxter operators

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August undefined, 2024

WebThis paper introduces Hopf braces, a new algebraic structure related to the Yang–Baxter equation, which include Rump’s braces and their non-commutative generalizations as particular cases. Several results of classical braces are still valid in our context. Furthermore, Hopf braces provide the right setting for considering left symmetric … Web11 apr. 2024 · DOI: 10.1016/j.jalgebra.2024.02.013 Corpus ID: 248085233; Rota–Baxter operators on Clifford semigroups and the Yang–Baxter equation …

Yang-Baxter operators - Encyclopedia of Mathematics

Web13 mrt. 2024 · Next a relative Rota–Baxter operator on a group naturally splits the group structure to a post-group structure. Conversely, a post-group gives rise to a relative Rota–Baxter operator on the... Web20 sep. 2024 · We introduce strong left ideals of skew braces and prove that they produce non-trivial decomposition of set-theoretic solutions of the Yang–Baxter equation. We study factorization of skew left braces through strong left ideals and we prove analogs of Itô’s theorem in the context of skew left braces. As a corollary, we obtain applications to the … dr. ravi salgia city of hope

Hopf braces and Yang-Baxter operators César Galindo

WebPOST-HOPF ALGEBRAS, RELATIVE ROTA-BAXTER OPERATORS AND SOLUTIONS OF YBE 5 Moreover, we have the followingproperties. Lemma 2.3. Let (H,⊲) be a post-Hopf algebra. WebThis paper introduces Hopf braces, a new algebraic structure related to the Yang-Baxter equation which include Rump's braces and their non-commutative generalizations as … WebBaxter operators on Hopf algebras using relative Rota-Baxter operators on the Lie algebra of primitive elements, graphs and module bialgebra structures. Contents 1. … dr ravish sachar

[PDF] Rota–Baxter operators on Clifford semigroups and the …

Rota-Baxter operators on cocommutative Hopf algebras

Web23 mrt. 2024 · A cocommutative post-Hopf algebra gives rise to a relative Rota-Baxter operator on its subadjacent Hopf algebra. Conversely, a relative Rota-Baxter operator … Webinterpret some notions of the theory of skew left braces in terms of Rota Baxter operators. Keywords: Rota Baxter operator, Rota Baxter group, skew left brace, Yang Baxter equation. 1 Introduction The Yang Baxter equation from mathematical physics has been studied since 1960s– 1970s, and there exist a lot of quite diﬀerent versions of it. dr ravish sachar raleigh ncWeb1 jul. 2024 · Yang-Baxter operators. In their most familiar form, Yang–Baxter operators are certain invertible linear endomorphisms which have applications to physics and … dr. ravi singh murfreesboro tn

"Web13 mrt. 2024 · The Yang-Baxter equation grew out of Yang’s study of exact solutions of many-body problems [ 57] and Baxter’s work of the eight-vertex model [ 4 ]. The equation is closely related to many fields in mathematics and physics, in particular, quasi-triangular Hopf algebras and quantum groups [ 15 ]. " - Hopf braces and yang-baxter operators

Hopf braces and yang-baxter operators

Web11 apr. 2024 · Skew left braces are closely linked with both solutions to the Yang-Baxter Equation and Hopf ... the bijecitivity of which indicates the existence of an operation that … Web11 jan. 2024 · This paper explores the structure groups G(X,r) of finite non-degenerate set-theoretic solutions ( X, r) to the Yang–Baxter equation. Namely, we construct a finite quotient of G(X,r), generalizing the Coxeter-like groups introduced by Dehornoy for involutive solutions.

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Web11 apr. 2024 · Skew left braces are closely linked with both solutions to the Yang-Baxter Equation and Hopf ... the bijecitivity of which indicates the existence of an operation that turns a truss into a brace. Web15 sep. 2024 · Rota—Baxter operators on algebras are known since the middle of the previous century [8,45] and they have in turn connections with mathematical physics …

Web15 apr. 2024 · Rota—Baxter operators and skew left braces The next statement gives a connection between RB-groups and skew left braces. Proposition 3.1 Let ( G, ⋅) be a … Web1 jul. 2024 · Yang-Baxter operators In their most familiar form, Yang–Baxter operators are certain invertible linear endomorphisms which have applications to physics and topology.

Web7 apr. 2016 · This paper introduces Hopf braces, a new algebraic structure related to the Yang-Baxter equation which include Rump's braces and their non-commutative … Web22 mrt. 2024 · A cocommutative post-Hopf algebra gives rise to a relative Rota-Baxter operator on its subadjacent Hopf algebra. Conversely, a relative Rota-Baxter operator …

Web17 jul. 2024 · Braces were introduced by Rump as a generalization of Jacobson radical rings. It turns out that braces allow us to use ring-theoretic and group-theoretic methods for studying involutive solutions to the Yang-Baxter equation. If braces are replaced by skew braces, then one can use similar methods for studying not necessarily involutive …

Web7 apr. 2016 · Hopf braces and Yang-Baxter operators. This paper introduces Hopf braces, a new algebraic structure related to the Yang-Baxter equation which include Rump's … colleges in battle creek miWeb10 nov. 2015 · Hopf braces and Yang-Baxter operators I. Angiono, C. Galindo, L. Vendramin Mathematics 2016 This paper introduces Hopf braces, a new algebraic structure related to the Yang-Baxter equation which include Rump's braces and their non-commutative generalizations as particular cases. Several… Expand 37 PDF View 2 … colleges in batleyWebThis paper introduces Hopf braces, a new algebraic structure related to the Yang-Baxter equation which include Rump's braces and their non-commutative generalizations as particular cases. Several results of classical braces are still valid in our context. colleges in bangalore for psychologyWebThis paper introduces Hopf braces, a new algebraic structure related to the Yang-Baxter equation, which include Rump’s braces and their non-commutative generalizations as particular cases. Several results of classical braces are still valid in our context. Furthermore, Hopf braces provide the right setting for considering left symmetric ... colleges in bangalore for b techWebThis paper introduces Hopf braces, a new algebraic structure related to the Yang-Baxter equation, which include Rump's braces and their non-commutative generalizations as … colleges in bay areaWebHOPF BRACES AND YANG-BAXTER OPERATORS IVAN ANGIONO, C´ ´ESAR GALINDO, AND LEANDRO VENDRAMIN Abstract. This paper introduces Hopf braces, … colleges in az for teachingWeb6 mei 2024 · One-generator braces and indecomposable set-theoretic solutions to the Yang–Baxter equation - Volume 63 Issue 3. Skip to main content Accessibility help ... Angiono, I., Galindo, C. and Vendramin, L., Hopf braces and Yang–Baxter operators, Proc. Amer. Math. Soc. 145 (5) ... colleges in bay st louis ms