Forms of Hopf algebras and Galois theory
B. Pareigis (1990)
Banach Center Publications
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Displaying similar documents to “Hopf-Galois extensions for monoidal Hom-Hopf algebras”
Forms of Hopf algebras and Galois theory
Twistings, crossed coproducts, and Hopf-Galois coextensions.
Caenepeel, S., Wang, Dingguo, Wang, Yanxin (2003)
International Journal of Mathematics and Mathematical Sciences
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Homotopy theory of Hopf Galois extensions
Christian Kassel, Hans-Jürgen Schneider (2005)
Annales de l'institut Fourier
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We introduce the concept of homotopy equivalence for Hopf Galois extensions and make a systematic study of it. As an application we determine all -Galois extensions up to homotopy equivalence in the case when is a Drinfeld-Jimbo quantum group.
About the naturality of Beattie's decomposition theorem with respect to a change of Hopf algebras
J. N. Alonso Alvarez, J. M. Fernández Vilaboa, R. González Rodríguez, E. Villanueva Novoa (2002)
Cahiers de Topologie et Géométrie Différentielle Catégoriques
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Hopf Galois structures on degree cyclic extensions of local fields.
Childs, Lindsay N. (1996)
The New York Journal of Mathematics [electronic only]
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Tame and Galois extensions with respect to Hopf orders.
N.P. Byott (1995)
Mathematische Zeitschrift
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Centralizer Theorems for Hopf Type Galois Extensions.
Yoichi Miyashita (1984)
Mathematische Zeitschrift
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Lazy 2-cocycles over monoidal Hom-Hopf algebras
Xiaofan Zhao, Xiaohui Zhang (2016)
Colloquium Mathematicae
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We introduce the notion of a lazy 2-cocycle over a monoidal Hom-Hopf algebra and determine all lazy 2-cocycles for a class of monoidal Hom-Hopf algebras. We also study the extension of lazy 2-cocycles to a Radford Hom-biproduct.
On semisimple Hopf algebras of low dimension.
Natale, Sonia (2003)
AMA. Algebra Montpellier Announcements [electronic only]
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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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Extensions of finite group schemes, and Hopf Galois theory over a complete discrete valuation ring.
C. Greither (1992)
Mathematische Zeitschrift
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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. ...
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.