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Bolytrope orders

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arxiv 2111.11244 v2 pith:IQMS6BWP submitted 2021-11-22 math.RA math.NT

classification math.RAmath.NT
keywords bolytropeorderspointsaffinebolytropesboundedbuildingconsist
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abstract

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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