2
votes
0answers
78 views

Bisections in Kan Complexes

Kan Complexes can be seen as a generalization of groupoids, mostly called (weak) infinity groupoids in this context. On groupoids we can define the \textbf{group of bisections} the following way: ...
3
votes
3answers
291 views

What are the symmetries of a principal homogeneous bundle?

Let $\operatorname{Klein}$ denote the category of principal homogeneous bundles. An object in this category is a tuple $\mathbf Q = (Q, P; G, H; q, a, \tilde a)$, where: $G$ is a Lie group, and $H$ ...