16 citations · 59 across the 23 of their papers we have counts for
5 papers · 1 filter
Gauge groups and bialgebroids
Xiao Han, Giovanni Landi
We study the Ehresmann--Schauenburg bialgebroid of a noncommutative principal bundle as a quantization of the gauge groupoid of a classical principal bundle. We show that the gauge…
Twisted Ehresmann Schauenburg bialgebroids
Xiao Han
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…
On coherent Hopf 2-algebras
Xiao Han
We construct a coherent Hopf 2-algebra in terms of Hopf coquasigroups, which relax the coassociativity condition and generalize the results in \cite{XH2023}. We also study quasi co…
On the gauge group of Galois objects
Xiao Han, Giovanni Landi
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…
Principal fibrations over noncommutative spheres
Michel Dubois-Violette, Xiao Han, Giovanni Landi
We present examples of noncommutative four-spheres that are base spaces of -principal bundles with noncommutative seven-spheres as total spaces. The noncommutative coordinat…