Výsledky vyhledávání - "Yassine El Maazouz"

Orders and polytropes: matrix algebras from valuations

Autor: Bernd Sturmfels, Gabriele Nebe, Mima Stanojkovski, Yassine El Maazouz, Marvin Anas Hahn

Publikováno v: Beiträge zur Algebra und Geometrie 63, 515-531 (2022). doi:10.1007/s13366-021-00600-4

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 r

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::33771e2fdc10c9848ec012710367ee3d
https://publications.rwth-aachen.de/record/834725

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Bolytrope orders

Autor: Yassine El Maazouz, Gabriele Nebe, Mima Stanojkovski

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

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::a887b29c6d316c36684fe985042fc875
http://arxiv.org/abs/2111.11244

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