Eichler-Shimura isomorphism for complex hyperbolic lattices
Artikel i vetenskaplig tidskrift, 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

Författare

Inkang Kim

Korea Institute for Advanced Study

Genkai Zhang

Chalmers, Matematiska vetenskaper, Analys och sannolikhetsteori

Göteborgs universitet

Journal of Geometry and Physics

0393-0440 (ISSN)

Vol. 121 452-460

Ämneskategorier

Matematik

DOI

10.1016/j.geomphys.2017.08.010

Mer information

Skapat

2017-10-31