Galois actions by finite quantum groupoids
Quantum Algebra
2007-05-23 v1
Abstract
Proposing a certain category of bialgebroid maps we show that the balanced depth 2 extensions appear as they were the finitary Galois extensions in the context of quantum groupoid actions, i.e., actions by finite bialgebroids, weak bialgebras or weak Hopf algebras. We comment on deformation of weak bialgebras, on half grouplike elements, on uniqueness of weak Hopf algebra reconstructions and discuss the example of separable field extensions.
Keywords
Cite
@article{arxiv.math/0205229,
title = {Galois actions by finite quantum groupoids},
author = {K. Szlachanyi},
journal= {arXiv preprint arXiv:math/0205229},
year = {2007}
}
Comments
23 pages LaTeX, to appear in Proc. of RCP meeting, Strasbourg, 2002