Hecke algebras and characters of parabolic type of finite group with -pairs
Page 1
Charles W. Curtis, Nagoyashi Iwahori, Robert Kilmoyer (1971)
Publications Mathématiques de l'IHÉS
Carlos Matheus, Jean-Christophe Yoccoz, David Zmiaikou (2014)
Annales de l’institut Fourier
Given an origami (square-tiled surface) with automorphism group , we compute the decomposition of the first homology group of into isotypic -submodules. Through the action of the affine group of on the homology group, we deduce some consequences for the multiplicities of the Lyapunov exponents of the Kontsevich-Zorich cocycle. We also construct and study several families of interesting origamis illustrating our results.
Tammo tom Dieck (1978)
Journal für die reine und angewandte Mathematik
Page 1