Results 201 to 210 of about 4,004 (223)
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Nonlinear Evolution Equations and Dynamical Systems, 2003
Abstract: This lecture was given in UIA at Antwerp, and in USTC at Hefei, aiming at outlining a construction of non-commutative, non-cocommutative pointed Hopf algebras via quivers, given by Cibils and Rosso(3). We thank Sen Hu for his interest to include it in this proceeding. To save the space, we omit details here.
Van Oystaeyen, F., Zhang, P.
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Abstract: This lecture was given in UIA at Antwerp, and in USTC at Hefei, aiming at outlining a construction of non-commutative, non-cocommutative pointed Hopf algebras via quivers, given by Cibils and Rosso(3). We thank Sen Hu for his interest to include it in this proceeding. To save the space, we omit details here.
Van Oystaeyen, F., Zhang, P.
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Canadian Journal of Mathematics, 1967
A coalgebra over the field F is a vector space A over F, with maps δ: A → A ⊗ A and ∊: A → F such that1and2The notion of coalgebra is dual to the notion of algebra with unit, with δ as coproduct (equation (1) says that δ is associative) and ∊ as the unit map (equation (2) is just the statement that ∊ is a unit for the coproduct δ).
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A coalgebra over the field F is a vector space A over F, with maps δ: A → A ⊗ A and ∊: A → F such that1and2The notion of coalgebra is dual to the notion of algebra with unit, with δ as coproduct (equation (1) says that δ is associative) and ∊ as the unit map (equation (2) is just the statement that ∊ is a unit for the coproduct δ).
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American Journal of Mathematics, 1977
Let A be a finite dimensional Hopf algebra with antipode s over a field k. In (6) the structure of s and s2 is seen to be closely related to the important algebraic features of A and A*. This paper furthers the investigation. More generally "locally finite" bialgebra endomorphisms t:A ->A of an arbitrary Hopf algebra A are considered (this means A is ...
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Let A be a finite dimensional Hopf algebra with antipode s over a field k. In (6) the structure of s and s2 is seen to be closely related to the important algebraic features of A and A*. This paper furthers the investigation. More generally "locally finite" bialgebra endomorphisms t:A ->A of an arbitrary Hopf algebra A are considered (this means A is ...
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International Journal of Theoretical Physics, 2001
This is a short survey article on the Hopf algebra \(H^0\), the continuous Hopf algebra dual of the complex polynomial Hopf algebra \(H=\mathbb{C}[x]\) in one primitive variable \(x\). Various realizations of \(H^0\) are given. One is the complex vector space spanned by the rational functions \({1\over(z-a)^{k+1}}\), for \(a\) in \(\mathbb{C}\), \(k ...
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This is a short survey article on the Hopf algebra \(H^0\), the continuous Hopf algebra dual of the complex polynomial Hopf algebra \(H=\mathbb{C}[x]\) in one primitive variable \(x\). Various realizations of \(H^0\) are given. One is the complex vector space spanned by the rational functions \({1\over(z-a)^{k+1}}\), for \(a\) in \(\mathbb{C}\), \(k ...
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The formal theory of Hopf algebras Part II: The case of Hopf algebras
Quaestiones Mathematicae, 2015Hans-E Porst
exaly
Finite Dimensional Hopf Algebras Over the Dual Group Algebra of the Symmetric Group in Three Letters
Communications in Algebra, 2011Nicolas Andruskiewitsch, Cristian Vay
exaly
Decompositions of Hopf Algebras
Bulletin of the London Mathematical Society, 1982openaire +2 more sources
On Subcategories of the Category of Hopf Algebras
Arabian Journal for Science and Engineering, 2011Hans-E Porst, Porst Hans-E
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