Galois theory in bicategories
Rings and Algebras
2007-11-26 v1 Category Theory
Abstract
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.
Cite
@article{arxiv.0711.3642,
title = {Galois theory in bicategories},
author = {Jose Gomez-Torrecillas and Joost Vercruysse},
journal= {arXiv preprint arXiv:0711.3642},
year = {2007}
}
Comments
39 pages