Corpus ID: 211126557

On the gauge group of Galois objects

@article{Han2020OnTG,
  title={On the gauge group of Galois objects},
  author={Xiaoling Han and G. Landi},
  journal={arXiv: Quantum Algebra},
  year={2020}
}
We study the Ehresmann--Schauenburg bialgebroid of a noncommutative principal bundle as a quantization of the classical gauge groupoid of a principal bundle. When the base algebra is in the centre of the total space algebra, the gauge group of the noncommutative principal bundle is isomorphic to the group of bisections of the bialgebroid. In particular we consider Galois objects (non-trivial noncommutative bundles over a point in a sense) for which the bialgebroid is a Hopf algebra. For these… Expand
Twisted Ehresmann Schauenburg bialgebroids.
We construct an invertible normalised 2 cocycle on the Ehresmann Schauenburg bialgebroid of a cleft Hopf Galois extension under the condition that the corresponding Hopf algebra is cocommutative andExpand

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