The Convex Hull of the Highest Weight Orbit and the Carathéodory Orbitope
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Université d'Ottawa / University of Ottawa
Résumé
In this thesis, we study the polynomial equations that describe the highest weight
orbit of an irreducible finite dimensional highest weight module under a semisimple
Lie group. We also study the connection of the convex hull of this orbit and the
Carathéodory orbitope.
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Mots-clés
Orbitopes, Representation Theory