Lattice polytopes, Hecke operators, and the Ehrhart polynomial

Authors

PE Gunnells, University of Massachusetts - AmherstFollow
FR Villegas

Publication Date

2007

Journal or Book Title

SELECTA MATHEMATICA-NEW SERIES

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.

Comments

This is the pre-published version harvested from ArXiv. The published version is located at http://www.springerlink.com/content/qr18k61r4j132654/

Pages

253-276

Volume

13

Issue

2

Recommended Citation

Gunnells, PE and Villegas, FR, "Lattice polytopes, Hecke operators, and the Ehrhart polynomial" (2007). SELECTA MATHEMATICA-NEW SERIES. 396.
Retrieved from https://scholarworks.umass.edu/math_faculty_pubs/396