Theorems of Carathe'odory, Minkowski--Weyl, and Gordan up to Symmetry
| Autor(en): | Le, Dinh V. Roemer, Tim |
Stichwörter: | cone; equivariant; EQUIVARIANT HILBERT SERIES; Mathematics; Mathematics, Applied; monoid; symmetric group | Erscheinungsdatum: | 2023 | Herausgeber: | SIAM PUBLICATIONS | Journal: | SIAM JOURNAL ON APPLIED ALGEBRA AND GEOMETRY | Volumen: | 7 | Ausgabe: | 1 | Startseite: | 291 | Seitenende: | 310 | Zusammenfassung: | In this paper we extend three classical and fundamental results in polyhedral geometry, namely, Carathe'o dory's theorem, the Minkowski--Weyl theorem, and Gordan's lemma, to infinite dimensional spaces, in which considered cones and monoids are invariant under actions of symmetric groups. |
ISSN: | 2470-6566 | DOI: | 10.1137/22M148865X |
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geprüft am 23.05.2024
