Galois extensions as functors of comodules

DOI10.1007/BF01170844zbMath0634.16027MaRDI QIDQ1096706

K.-H. Ulbrich

Publication date: 1987

Published in: Manuscripta Mathematica (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/155257

zbMATH Keywords

Galois extensionsmonoidal functorscotensor productcoherence diagramscategory of left A-comodulesfinite Hopf algebraleft A-comodules

Mathematics Subject Classification ID

Category-theoretic methods and results in associative algebras (except as in 16D90) (16B50) Automorphisms and endomorphisms (16W20)

Related Items

Ergodic coactions with large multiplicity and monoidal equivalence of quantum groups ⋮ Exotic elliptic algebras ⋮ On the classification of Galois objects over the quantum group of a nondegenerate bilinear form. ⋮ Fibre functors of finite dimensional comodules ⋮ Braided autoequivalences and the equivariant Brauer group of a quasitriangular Hopf algebra. ⋮ A correspondence between homogeneous and Galois coactions of Hopf algebras ⋮ Cocycle deformations and Galois objects for semisimple Hopf algebras of dimension \(p^{3}\) and \(pq^{2}\) ⋮ Cocycle deformations and Galois objects of semisimple Hopf algebras of dimension 16 ⋮ Categorical Morita equivalence and monoidal Morita equivalence of semisimple Hopf algebras of dimension pqr ⋮ Invertible bimodule categories over the representation category of a Hopf algebra ⋮ Categorically Morita equivalent compact quantum groups ⋮ Pre-torsors and equivalences. ⋮ Finitary Galois extensions over noncommutative bases. ⋮ Hopf bigalois extensions

Cites Work

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