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

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

Cahiers de Topologie et Géométrie Différentielle Catégoriques (1994)

  • Volume: 35, Issue: 1, page 85-96
  • ISSN: 1245-530X

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Alvarez, J. N. Alonso, and Vilaboa, J. M. Fernandez. "Inner actions and Galois $H$-objects in a symmetric closed category." Cahiers de Topologie et Géométrie Différentielle Catégoriques 35.1 (1994): 85-96. <http://eudml.org/doc/91537>.

@article{Alvarez1994,
author = {Alvarez, J. N. Alonso, Vilaboa, J. M. Fernandez},
journal = {Cahiers de Topologie et Géométrie Différentielle Catégoriques},
keywords = {Galois -object; triple; cotriple; comodule; Azumaya triple; inner action; symmetric closed category; Hopf algebra},
language = {eng},
number = {1},
pages = {85-96},
publisher = {Dunod éditeur, publié avec le concours du CNRS},
title = {Inner actions and Galois $H$-objects in a symmetric closed category},
url = {http://eudml.org/doc/91537},
volume = {35},
year = {1994},
}

TY - JOUR
AU - Alvarez, J. N. Alonso
AU - Vilaboa, J. M. Fernandez
TI - Inner actions and Galois $H$-objects in a symmetric closed category
JO - Cahiers de Topologie et Géométrie Différentielle Catégoriques
PY - 1994
PB - Dunod éditeur, publié avec le concours du CNRS
VL - 35
IS - 1
SP - 85
EP - 96
LA - eng
KW - Galois -object; triple; cotriple; comodule; Azumaya triple; inner action; symmetric closed category; Hopf algebra
UR - http://eudml.org/doc/91537
ER -

References

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  1. 1 Beattie, M.: A direct sum decomposition for the Brauer group of H—module algebras. Journal ofAlgebra43 (1976), 686-693. Zbl0342.16010MR441942
  2. 2 Beattie, M., Ulbrich, K.H.: A Skolem-Noether theorem for Hopf algebra actions. Communications in Algebra18 (1990), 3713-3724. Zbl0760.16014MR1068617
  3. 3 Eilenberg S., Kelly, H.F.: Closed categories. Proccedings of the Conference in Categorical Algebra, La Jolla (1966), 421-562. Zbl0192.10604MR225841
  4. 4 Fernandez-Vilaboa, J.M.: Grupos de Brauer y de Galois de un álgebra de Hopf en una categoría cerrada. Alxebra42. Depto. Alxebra. Santiago de Compostela (1985). Zbl0579.16004MR797753
  5. 5 Mac-Lane, S.: Categories for the working matemathicien. G.T.M. 5.Springer (1971). Zbl0232.18001MR354798
  6. 6 Sweedler, M.E.: Hopf algebras. Benjamín. New York (1969). Zbl0194.32901MR252485

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