Computing Hecke eigenvalues below the cohomological dimension

Preprint

23 November 1998

preprint
Published by arXiv in arXiv

Abstract

Let G be a neat finite-index subgroup of SL(n,Z) or GL(n,Z), and let d be the cohomological dimension of G. We present an algorithm to compute the eigenvalues of the Hecke operators on the integral cohomology of degree d-1 for n = 2, 3, and 4. In addition, we describe a modification of the modular symbol algorithm of Ash-Rudolph for computing Hecke eigenvalues for the integral cohomology of degree d.

Keywords

COMPUTING HECKE EIGENVALUES
COHOMOLOGICAL DIMENSION
COHOMOLOGY OF DEGREE
ALGORITHM
MODULAR

All Related Versions

Version 1, 1998-11-23, ArXiv
Version 2, 1999-10-21, ArXiv

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