Equivariant Ehrhart theory (Q626123)

In this paper the author introduces and develops an equivariant generalization of Ehrhart theory, the study of lattice points in dilations of lattice polytopes. He proves representation-theoretic analogues of numerous classical results, and gives applications to the Ehrhart theory of rational polytopes and centrally symmetric polytopes. Further, the author recovers a character formula of Procesi, Dolgachev, Lunts and Stembridge for the action of a Weyl group on the cohomology of a toric variety associated to a root system.