Galois theory in bicategories
Gomez-Torrecillas, Jose ; Vercruysse, Joost
arXiv, 0711.3642 / Harvested from arXiv
Text on arXiv
We develop a Galois (descent) theory for comonads within the framework of bicategories. We give generalizations of Beck's theorem and the Joyal-Tierney theorem. Many examples are provided, including classical descent theory, Hopf-Galois theory over Hopf algebras and Hopf algebroids, Galois theory for corings and group-corings, and Morita-Takeuchi theory for corings. As an application we construct a new type of comatrix corings based on (dual) quasi bialgebras.
Publié le : 2007-11-22
Classification:  Mathematics - Rings and Algebras,  Mathematics - Category Theory,  16W30, 18D05 
@article{0711.3642,
     author = {Gomez-Torrecillas, Jose and Vercruysse, Joost},
     title = {Galois theory in bicategories},
     journal = {arXiv},
     volume = {2007},
     number = {0},
     year = {2007},
     language = {en},
     url = {http://dml.mathdoc.fr/item/0711.3642}
}

Gomez-Torrecillas, Jose; Vercruysse, Joost. Galois theory in bicategories. arXiv, Tome 2007 (2007) no. 0, . http://gdmltest.u-ga.fr/item/0711.3642/