# Galois actions by finite quantum groupoids

Source: [Galois actions by finite quantum groupoids](<https://www.sota2.com/research/paper/68fa4cac1e209131ce94e1d8>)

Collection index: [llms.txt](<https://www.sota2.com/research/llms.txt>)

Data updated: 2025-10-25T08:53:16.845Z

Authors: K. Szlachanyi

Published: 2002-05-22T17:21:09.000Z

## 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.

## Recorded benchmark results

A research result applies to its stated dataset, split, metric and evaluation configuration. Compare like-for-like settings, preserve the metric's unit and direction, and distinguish paper-reported results from independent reproduction. The best result recorded here is not a claim of exhaustive, current global coverage.

## Original sources and implementation

[Original paper](<https://arxiv.org/abs/math/0205229>)

[PDF](<https://arxiv.org/pdf/math/0205229.pdf>)