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arxiv: 2111.11244 · v2 · pith:IQMS6BWPnew · submitted 2021-11-22 · 🧮 math.RA · math.NT

Bolytrope orders

classification 🧮 math.RA math.NT
keywords bolytropeorderspointsaffinebolytropesboundedbuildingconsist
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Bolytropes are bounded subsets of an affine building that consist of all points that have distance at most $r$ 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.

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