Results 111 to 120 of about 133 (132)
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The applications of probability groups on Hopf algebras
Communications in Algebra, 2021Shenglin Zhu
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Hopf Bifurcation in Differential Algebraic Equations and Applications to Circuit Simulation
1990For the analysis of Hopf bifurcation in a dynamical system, i.e. of an autonomous differential equation $$ \dot x = f(x,\lambda ) $$ where λ is the bifurcation parameter, we can use the fundamental theorem of Hopf [3]. For this we solve an eigenvalue problem for the Jacobi-matrix D 1 f(x 0,λ) at an equilibrium point x 0.
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Hopf Algebra Coaction and Its Application to Group-Graded Rings
2001Let H be a Hopf algebra, A a right H-comodule algebra and A#H * a right smash product. Chen and Cai[5] give a Morita context connection between A coH and A#H *rat under the assumption that ∫ H* r = ∫ H* l ≠ 0. In this paper we form a Morita context connection between A coH and A#H *rat under the condition ∫ H* l ≠ 0.
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WEAK HOPF ALGEBRA DUALITY IN WEAK YETTER-DRINFELD CATEGORIES AND APPLICATIONS
2009Let L be a weak Hopf algebra with a bijective antipode SL in the sense of [3]. In this paper we show that if H is a finite-dimensional weak Hopf algebra in the weak Yetter-Drinfeld category L LWYD in the sense of [1], then its dual H∗ is also a weak Hopf algebra in L LWYD. Also we will apply above result to the representations category Rep(L) = LM of a
SHEN, Bing-liang, WANG, Shuan-hong
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Techniques for Classifying Hopf Algebras and Applications to Dimensionp3
Communications in Algebra, 2013Gaston Andres Garcia, Margaret Beattie
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De-Equivariantization of Hopf Algebras
Algebras and Representation Theory, 2012Cesar Galindo +2 more
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A Survey of Hopf Algebras of Low Dimension
Acta Applicandae Mathematicae, 2008Margaret Beattie
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