On Galois H -objects and invertible H * -modules

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

Cahiers de Topologie et Géométrie Différentielle Catégoriques (2000)

  • Volume: 41, Issue: 1, page 75-79
  • ISSN: 1245-530X

How to cite

top

Alvarez, J. N. Alonso, and Vilaboa, J. M. Fernández. "On Galois $H$-objects and invertible $H^*$-modules." Cahiers de Topologie et Géométrie Différentielle Catégoriques 41.1 (2000): 75-79. <http://eudml.org/doc/91627>.

@article{Alvarez2000,
author = {Alvarez, J. N. Alonso, Vilaboa, J. M. Fernández},
journal = {Cahiers de Topologie et Géométrie Différentielle Catégoriques},
keywords = {Hopf algebra; Galois objects; symmetric closed category; Picard group; Brauer group; Azumaya monoid},
language = {eng},
number = {1},
pages = {75-79},
publisher = {Dunod éditeur, publié avec le concours du CNRS},
title = {On Galois $H$-objects and invertible $H^*$-modules},
url = {http://eudml.org/doc/91627},
volume = {41},
year = {2000},
}

TY - JOUR
AU - Alvarez, J. N. Alonso
AU - Vilaboa, J. M. Fernández
TI - On Galois $H$-objects and invertible $H^*$-modules
JO - Cahiers de Topologie et Géométrie Différentielle Catégoriques
PY - 2000
PB - Dunod éditeur, publié avec le concours du CNRS
VL - 41
IS - 1
SP - 75
EP - 79
LA - eng
KW - Hopf algebra; Galois objects; symmetric closed category; Picard group; Brauer group; Azumaya monoid
UR - http://eudml.org/doc/91627
ER -

References

top
  1. [1] Alonso Alvarez, J.N.; Fernández Vilaboa, J.M.: Inner actions and Galois H-objects in a symmetric closed category. Cahiers de Topologie et Géométrie différentielle catégoriques, Vol. XXXV-1, (1994), 85-96. Zbl0805.18008MR1268533
  2. [2] Beattie, M.: A direct sum decomposition for the Brauer group of H-module algebras. J. of Algebra43 (1976), 686-693. Zbl0342.16010MR441942
  3. [3] Beattie, M.; Ulbrich, K.H.: A Skolem-Noether theorem for Hopf algebra actions. Comm. in Algebra18 (1990), 3713-3724. Zbl0760.16014MR1068617
  4. [4] Chase, S.U.; Sweedler, M.E.: Hopf algebras and Galois theory. Springer, Lecture Notes in Math. 97 (1969). Zbl0197.01403MR260724
  5. [5] Childs, L.N.: Products of Galois objects and the Picard invariant map. Math. J. Okayama Univ.28, (1986), 29-36. Zbl0621.16009MR885009
  6. [6] Eilenberg, S.; Kelly, G.M.: Closed categories. Proc. of the Conference on Categorical Algebra, La Jolla (1966), 421-562. Zbl0192.10604MR225841
  7. [7] Fernández Vilaboa, J.M.: Grupos de Brauer y de Galois de un álgebra de Hopf en una categoría cerrada. Alxebra 42. Depto. Alxebra. Santiago de Compostela (1985). Zbl0579.16004MR797753
  8. [8] Fernández Vilaboa, J.M.; González Rodriguez, R.; Villanueva Novoa, E.: The Picard-Brauer five term exact sequence for a commutative finite Hopf algebra. J. of Algebra186 (1996), 384-400. Zbl0870.18008MR1423268
  9. [9] Fernández Vilaboa, J.M.; González Rodriguez, R.; Villanueva Novoa, E.: Exact sequences for the Galois group. Comm. in Algebra24 (1996), 3413-3435. Zbl0884.18010MR1405262
  10. [10] Sweedler, M.: Hopf algebras. Benjamin. New York. Zbl0194.32901MR252485

NotesEmbed ?

top

You must be logged in to post comments.

To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.

Only the controls for the widget will be shown in your chosen language. Notes will be shown in their authored language.

Tells the widget how many notes to show per page. You can cycle through additional notes using the next and previous controls.

    
                

                
Note: Best practice suggests putting the JavaScript code just before the closing </body> tag.