Results 41 to 50 of about 41,770 (202)
Method of general Coule–Hopf substitutions in theory of finite-dimensional dynamical systems
Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2011 We consider the results of applying the method of generic Cole–Hopf substitutions to integration of finite-dimensional dynamical systems. Dynamical systems are represented in the form of matrix ordinary differential equations with specific matrix algebra
C. S. Obrubov, V. M. Zhuravlev
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Rota–Baxter Operators on Cocommutative Weak Hopf Algebras
Mathematics, 2021 In this paper, we first introduce the concept of a Rota–Baxter operator on a cocommutative weak Hopf algebra H and give some examples. We then construct Rota–Baxter operators from the normalized integral, antipode, and target map of H.
Zhongwei Wang +3 more
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MathematicsIn this paper, we introduce and study the notion of a multiplier left Hopf algebra, which can be seen as an extension of the Van Daele’s multiplier Hopf algebras and the Green–Nichols–Taft’s left Hopf algebras.
Chunxiao Yan, Shuanhong Wang
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Co-Poisson structures on polynomial Hopf algebras
, 2017 The Hopf dual $H^\circ$ of any Poisson Hopf algebra $H$ is proved to be a co-Poisson Hopf algebra provided $H$ is noetherian. Without noetherian assumption, it is not true in general.
Lou, Qi, Wu, QuanShui
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Half-commutative orthogonal Hopf algebras [PDF]
, 2012 A half-commutative orthogonal Hopf algebra is a Hopf *-algebra generated by the self-adjoint coefficients of an orthogonal matrix corepresentation $v=(v_{ij})$ that half commute in the sense that $abc=cba$ for any $a,b,c \in \{v_{ij}\}$.
Bichon, Julien, Dubois-Violette, Michel
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Hopf Algebra Symmetries of an Integrable Hamiltonian for Anyonic Pairing
Axioms, 2012 Since the advent of Drinfel’d’s double construction, Hopf algebraic structures have been a centrepiece for many developments in the theory and analysis of integrable quantum systems.
Jon Links
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Renormalization group-like proof of the universality of the Tutte polynomial for matroids [PDF]
Discrete Mathematics & Theoretical Computer Science, 2013 In this paper we give a new proof of the universality of the Tutte polynomial for matroids. This proof uses appropriate characters of Hopf algebra of matroids, algebra introduced by Schmitt (1994). We show that these Hopf algebra characters are solutions
G. Duchamp +3 more
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The doubles of a braided Hopf algebra
, 2012 Let A be a Hopf algebra in a braided rigid category B. In the case B admits a coend C, which is a Hopf algebra in B, we defined in 2008 the double D(A) of A, which is a quasitriangular Hopf algebra in B whose category of modules is isomorphic to the ...
Bruguières, Alain, Virelizier, Alexis
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Multiplier Hopf Algebras [PDF]
Transactions of the American Mathematical Society, 1994 In this paper we generalize the notion of Hopf algebra. We consider an algebra A, with or without identity, and a homomorphism Δ \Delta from A to the multiplier algebra M ( A ⊗ A ) M(A \otimes A) of A ⊗ A A \otimes A .
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Three infinite families of reflection Hopf algebras
, 2019 Let $H$ be a semisimple Hopf algebra acting on an Artin-Schelter regular algebra $A$, homogeneously, inner-faithfully, preserving the grading on $A$, and so that $A$ is an $H$-module algebra.
Ferraro, Luigi +3 more
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