Bolytrope orders

International Journal of Number Theory, vol. 19, pp. 937–954

Abstract

Bolytropes are bounded subsets of an affine building that consist of all points that have distance at most [Formula: see text] 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.

Authors 3

1. Yassine El Maazouz

   University of California, Berkeley

   Affiliation as printed

   U.C. Berkeley, Department of Statistics, 335 Evans Hall #3860, Berkeley, California 94720, USA

2. Gabriele Nebe Aachen Lehrstuhl für Algebra und Zahlentheorie

   RWTH Aachen University

   Affiliation as printed

   RWTH Aachen University, Lehrstuhl für Algebra und Zahlentheorie, 52056 Aachen, Germany

3. Mima Stanojkovski corresponding

   University of Trento

   Affiliation as printed

   Università di Trento, Dipartimento di Matematica, 38123 Povo (TN), Italy