On Galois $H$-objects and invertible $H^*$-modules

J. N. Alonso Alvarez; J. M. Fernández Vilaboa

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Displaying similar documents to “On Galois $H$ -objects and invertible $H^{*}$ -modules”

Inner actions and Galois $H$ -objects in a symmetric closed category

J. N. Alonso Alvarez, J. M. Fernandez Vilaboa (1994)

Cahiers de Topologie et Géométrie Différentielle Catégoriques

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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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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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Galois H-objects with a normal basis in closed categories. A cohomological interpretation.

José N. Alonso Alvarez, José Manuel Fernández Vilaboa (1993)

Publicacions Matemàtiques

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In this paper, for a cocommutative Hopf algebra H in a symmetric closed category C with basic object K, we get an isomorphism between the group of isomorphism classes of Galois H-objects with a normal basis and the second cohomology group H²(H,K) of H with coefficients in K. Using this result, we obtain a direct sum decomposition for the Brauer group of H-module Azumaya monoids with inner action: BM_inn(C,H) ≅ B(C) ⊕ H^2...

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 $H$ -Galois extensions up to homotopy equivalence in the case when $H$ is a Drinfeld-Jimbo quantum group.

On Hopf DeMeyer-Kanzaki Galois extensions.

Szeto, George, Xue, Lianyong (2003)

International Journal of Mathematics and Mathematical Sciences

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Galois theory of $q$ -difference equations

Marius van der Put, Marc Reversat (2007)

Annales de la faculté des sciences de Toulouse Mathématiques

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Choose $q \in ℂ$ with $0 < | q | < 1$ . The main theme of this paper is the study of linear $q$ -difference equations over the field $K$ of germs of meromorphic functions at $0$ . A systematic treatment of classification and moduli is developed. It turns out that a difference module $M$ over $K$ induces in a functorial way a vector bundle $v (M)$ on the Tate curve $E_{q} : = ℂ^{*} / q^{ℤ}$ that was known for modules with ”integer slopes“, [Saul, 2]). As a corollary one rediscovers Atiyah’s classification $([A t])$ of the indecomposable vector bundles on the...

Galois structure of ideals in wildly ramified abelian $p$ -extensions of a $p$ -adic field, and some applications

Nigel P. Byott (1997)

Journal de théorie des nombres de Bordeaux

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Let $K$ be a finite extension of $ℚ_{p}$ with ramification index $e$ , and let $L / K$ be a finite abelian $p$ -extension with Galois group $Γ$ and ramification index $p^{n}$ . We give a criterion in terms of the ramification numbers $t_{i}$ for a fractional ideal $𝔓^{h}$ of the valuation ring $S$ of $L$ not to be free over its associated order $𝔄 (K Γ; 𝔓^{h})$ . In particular, if $t_{n} - [t_{n} / p] < p^{n - 1} e$ then the inverse different can be free over its associated order only when $t_{i} \equiv - 1$ (mod $p^{n}$ ) for all $i$ . We give three consequences of this. Firstly, if $𝔄 (K Γ; S)$ is a Hopf order and...

Displaying similar documents to “On Galois H -objects and invertible H * -modules”

Displaying similar documents to “On Galois $H$ -objects and invertible $H^{*}$ -modules”