Bolytrope orders
arXiv:2111.11244 · doi:10.1142/S1793042123500471
Abstract
Bolytropes are bounded subsets of an affine building that consist of all points that have distance at most from some polytrope. We prove that the points of a bolytrope describe the set of all invariant lattices of a bolytrope order, generalizing the correspondence between polytropes and graduated orders.
Minor revisions according to referee's suggestions. To appear in International Journal of Number Theory