Lattice polytopes,Hecke operators,and the Ehrhart polynomial |
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| Authors: | Paul E Gunnells Fernando Rodriguez Villegas |
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| Institution: | (1) Department of Mathematics and Statistics, University of Massachusetts, Amherst, MA 01003, USA;(2) Department of Mathematics, University of Texas, Austin, TX 78712, USA |
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| Abstract: | Let P be a simple lattice polytope. We define an action of the Hecke operators on E(P), the Ehrhart polynomial of P, and describe their effect on the coefficients of E(P). We also describe how the Brion–Vergne formula for E(P) transforms under the Hecke operators for nonsingular lattice polytopes P.
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| Keywords: | 11F20 11F60 14M25 52B20 |
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