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Séries de croissance et polynômes d'Ehrhart associés aux réseaux de racines

Séries de croissance et polynômes d'Ehrhart associés aux réseaux de racines

Given a root system R in one of the families A, B, C, D, F, G and the free abelian group that it generates, we compute explicitly the growth series of this group with respect to R. The results can be interpreted in terms of the Ehrhart polynomial of the …