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

DOI10.5565/PUBLMAT_37293_03zbMath0808.16041OpenAlexW1990464877MaRDI QIDQ1325597

J. M. Fernández Vilaboa, J. N. Alonso Álvarez

Publication date: 22 January 1995

Published in: Publicacions Matemàtiques (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/41519

zbMATH Keywords

Brauer groupsymmetric monoidal categorycocommutative Hopf algebracategory of modulesequalizerssplit exact sequencebifunctorfinite Hopf algebra\(H\)-comodule monoid\(H\)-module monoidAzumaya \(R\)-algebrasAzumaya monoidco-equalizersGalois \(H\)-objectSweedler cohomology groupsymmetric closed categories

Mathematics Subject Classification ID

Closed categories (closed monoidal and Cartesian closed categories, etc.) (18D15) Separable algebras (e.g., quaternion algebras, Azumaya algebras, etc.) (16H05) Smash products of general Hopf actions (16S40) Hopf algebras and their applications (16T05) Coalgebras and comodules; corings (16T15)

Related Items (1)

A sequence to compute the Brauer group of certain quasi-triangular Hopf algebras.

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