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

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

Displaying similar documents to “Inner actions and Galois $H$ -objects in a symmetric closed category”

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

J. N. Alonso Alvarez, J. M. Fernández Vilaboa (2000)

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...