Eichler-Shimura isomorphism for complex hyperbolic lattices
Journal article, 2017

We consider the cohomology group H-1(Gamma, p) of a discrete subgroup Gamma subset of G = SU(n, 1) and the symmetric tensor representation p on S-m(c(n+1)). We give an elementary proof of the Eichler-Shimura isomorphism that harmonic forms H-1(Gamma\ G/K, p) are (0, 1)-forms for the automorphic holomorphic bundle induced by the representation S-m(C-n) of K.

Eichler-Shimura isomorphism

First cohomology

Complex hyperbolic lattice

Author

Inkang Kim

Korea Institute for Advanced Study

Genkai Zhang

Chalmers, Mathematical Sciences, Analysis and Probability Theory

University of Gothenburg

Journal of Geometry and Physics

0393-0440 (ISSN)

Vol. 121 452-460

Subject Categories

Mathematics

DOI

10.1016/j.geomphys.2017.08.010

More information

Created

10/31/2017