Hopf structures on the Borel subalgebra of
Ogievetsky, O.
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Displaying similar documents to “Finite quantum groups over abelian groups of prime exponent”
Hopf structures on the Borel subalgebra of
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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Twisted quantum doubles.
Fukuda, Daijiro, Kuga, Ken'ichi (2004)
International Journal of Mathematics and Mathematical Sciences
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A class of weak Hopf algebras.
Cheng, Dongming (2010)
International Journal of Mathematics and Mathematical Sciences
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On complements and the factorization problem of Hopf algebras
Sebastian Burciu (2011)
Open Mathematics
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Two new results concerning complements in a semisimple Hopf algebra are proved. They extend some well-known results from group theory. The uniqueness of a Krull-Schmidt-Remak type decomposition is proved for semisimple completely reducible Hopf algebras.
On semisimple Hopf algebras of low dimension.
Natale, Sonia (2003)
AMA. Algebra Montpellier Announcements [electronic only]
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Cosemisimple Hopf algebras with antipode of arbitrary finite order.
Bichon, Julien (2002)
The New York Journal of Mathematics [electronic only]
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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. ...
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.
Deformed enveloping algebras.
Sommerhäuser, Yorck (1996)
The New York Journal of Mathematics [electronic only]
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