Theorems of Carathéodory, Minkowski-Weyl, and Gordan up to symmetry

Abstract

In this paper we extend three classical and fundamental results in polyhedral geometry, namely, Carathéodory'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.

arXiv comment21 pages

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Cited by in corpus (2)

• Orbit-finite linear programming
• On monoids up to symmetry