Saturated Actions of Finite Dimensional Hopf *-Algebras on C*-Algebras.
C. Peligrad, W. Szymanski (1994)
Mathematica Scandinavica
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Displaying similar documents to “Coherent unit actions on regular operads and Hopf algebras.”
Saturated Actions of Finite Dimensional Hopf *-Algebras on C*-Algebras.
Coalgebra deformations of bialgebras by Harrison cocycles, copairings of Hopf algebras and double crosscoproducts.
Caenepeel, S., Dăscălescu, S., Militaru, G., Panaite, F. (1997)
Bulletin of the Belgian Mathematical Society - Simon Stevin
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On generalized partial twisted smash products
Shuangjian Guo (2014)
Czechoslovak Mathematical Journal
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We first introduce the notion of a right generalized partial smash product and explore some properties of such partial smash product, and consider some examples. Furthermore, we introduce the notion of a generalized partial twisted smash product and discuss a necessary condition under which such partial smash product forms a Hopf algebra. Based on these notions and properties, we construct a Morita context for partial coactions of a co-Frobenius Hopf algebra.
Construction of Nijenhuis operators and dendriform trialgebras.
Leroux, Philippe (2004)
International Journal of Mathematics and Mathematical Sciences
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Cartan Subalgebras in Fixed Point Algebras of Finite Group Actions.
Yoshihiro Sekine (1992)
Mathematica Scandinavica
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The coribbon structures of some finite dimensional braided Hopf algebras generated by 2×2-matrix coalgebras
Michihisa Wakui (2003)
Banach Center Publications
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We determine the coribbon structures of some finite dimensional braided Hopf algebras generated by 2×2-matrix coalgebras constructed by S. Suzuki. As a consequence, we see that such a Hopf algebra has a coribbon structure if and only if it is of Kac-Paljutkin type.
The strong Morita equivalence for coactions of a finite-dimensional C*-Hopf algebra on unital C*-algebras
Kazunori Kodaka, Tamotsu Teruya (2015)
Studia Mathematica
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Following Jansen and Waldmann, and Kajiwara and Watatani, we introduce notions of coactions of a finite-dimensional C*-Hopf algebra on a Hilbert C*-bimodule of finite type in the sense of Kajiwara and Watatani and define their crossed product. We investigate their basic properties and show that the strong Morita equivalence for coactions preserves the Rokhlin property for coactions of a finite-dimensional C*-Hopf algebra on unital C*-algebras.
The Yang-Baxter and pentagon equation
A. Van Daele, S. Van Keer (1994)
Compositio Mathematica
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Classifying bicrossed products of two Sweedler's Hopf algebras
Costel-Gabriel Bontea (2014)
Czechoslovak Mathematical Journal
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We continue the study started recently by Agore, Bontea and Militaru in “Classifying bicrossed products of Hopf algebras” (2014), by describing and classifying all Hopf algebras that factorize through two Sweedler’s Hopf algebras. Equivalently, we classify all bicrossed products . There are three steps in our approach. First, we explicitly describe the set of all matched pairs by proving that, with the exception of the trivial pair, this set is parameterized by the ground field...
Smash (co)products and skew pairings.
José N. Alonso Alvarez, José Manuel Fernández Vilaboa, Ramón González Rodríguez (2001)
Publicacions Matemàtiques
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Let τ be an invertible skew pairing on (B,H) where B and H are Hopf algebras in a symmetric monoidal category C with (co)equalizers. Assume that H is quasitriangular. Then we obtain a new algebra structure such that B is a Hopf algebra in the braided category γD and there exists a Hopf algebra isomorphism w: B ∞ H → B [×] H in C, where B ∞ H is a Hopf algebra with (co)algebra structure the smash (co)product and B [×] H is the Hopf algebra defined by Doi and Takeuchi. ...