Hopf algebroids from noncommutative bundles
Quantum Algebra
2022-01-06 v1 Mathematical Physics
math.MP
Abstract
We present two classes of examples of Hopf algebroids associated with noncommutative principal bundles. The first comes from deforming the principal bundle while leaving unchanged the structure Hopf algebra. The second is related to deforming a quantum homogeneous space; this needs a careful deformation of the structure Hopf algebra in order to preserve the compatibilities between the Hopf algebra operations.
Cite
@article{arxiv.2201.01612,
title = {Hopf algebroids from noncommutative bundles},
author = {Xiao Han and Giovanni Landi and Yang Liu},
journal= {arXiv preprint arXiv:2201.01612},
year = {2022}
}
Comments
26 pages