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- W3173490700 abstract "We apply tropical geometry to study matrix algebras over a field with valuation. Using the shapes of min-max convexity, known as polytropes, we revisit the graduated orders introduced by Plesken and Zassenhaus. These are classified by the polytrope region. We advance the ideal theory of graduated orders by introducing their ideal class polytropes. This article emphasizes examples and computations. It offers first steps in the geometric combinatorics of endomorphism rings of configurations in affine buildings." @default.
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- W3173490700 date "2021-07-01" @default.
- W3173490700 modified "2023-10-14" @default.
- W3173490700 title "Orders and Polytropes: Matrix Algebras from Valuations" @default.
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