Hopf structures on the Borel subalgebra of $sl(2)$

Ogievetsky, O.

Displaying similar documents to “Hopf structures on the Borel subalgebra of $s l (2)$ ”

Twisted quantum doubles.

Fukuda, Daijiro, Kuga, Ken'ichi (2004)

International Journal of Mathematics and Mathematical Sciences

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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 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.

Finite quantum groups over abelian groups of prime exponent

Nicolás Andruskiewitsch, Hans-Jürgen Schneider (2002)

Annales scientifiques de l'École Normale Supérieure

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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.

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 double covering of the quantum group $S O_{q} (3)$

Dijkhuizen, Mathijs S.

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Displaying similar documents to “Hopf structures on the Borel subalgebra of s l ( 2 ) ”

Displaying similar documents to “Hopf structures on the Borel subalgebra of $s l (2)$ ”