منابع مشابه
Hopf-Galois systems and Kashiwara algebras
This article is made up with two parts. In the first part, using a recent result of Schauenburg, one generalizes to the case when objects are faithfully flat over the ground ring, the full equivalence between the notions of Hopf-Galois objects and Hopf-Galois systems. In this last description, one gives explicitly an inverse for a Hopf-Galois object T together with its generalized antipode. In ...
متن کاملGalois extensions for coquasi-Hopf algebras
The notions of Galois and cleft extensions are generalized for coquasi-Hopf algebras. It is shown that such an extension over a coquasi-Hopf algebra is cleft if and only if it is Galois and has the normal basis property. A Schneider type theorem ([33]) is proven for coquasi-Hopf algebras with bijective antipode. As an application, we generalize Schauenburg’s bialgebroid construction for coquasi...
متن کاملA Morita context and Galois extensions for Quasi-Hopf algebras
If H is a finite dimensional quasi-Hopf algebra and A is a left H-module algebra, we prove that there is a Morita context connecting the smash product A#H and the subalgebra of invariants A . We define also Galois extensions and prove the connection with this Morita context, as in the Hopf case.
متن کاملGeneralized descent patterns in permutations and associated Hopf algebras
Descents in permutations or words are defined from the relative position of two consecutive letters. We investigate a statistic involving patterns of k consecutive letters, and show that it leads to Hopf algebras generalizing noncom-mutative symmetric functions and quasi-symmetric functions.
متن کاملHomotopic Hopf-Galois extensions of commutative differential graded algebras
This thesis is concerned with the definition and the study of properties of homotopic Hopf-Galois extensions in the category Ch 0 k of chain complexes over a field k, equipped with its projective model structure. Given a differential graded k-Hopf algebra H of finite type, we define a homotopic H-Hopf-Galois extension to be a morphism ' : B ! A of augmented H-comodule dg-k-algebras, where B is ...
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ژورنال
عنوان ژورنال: Publicacions Matemàtiques
سال: 1986
ISSN: 0214-1493
DOI: 10.5565/publmat_30186_07