Torsion classes in cohomology and Galois representations
type: Item
instance of: scholarly article
title: Torsion classes in cohomology and Galois representations
zbMATH Open document ID: 0906.11022
author: Stefan Kühnlein
published in: Journal of Number Theory
publication date: 1999-01-06T00:00:00Z
review text: By explicit calculations of the Hecke eigenvalues, it is shown that certain torsion classes in the cohomology of \(SL_2({\mathcal O})\), where \({\mathcal O}\) is a special ring of \(S\)-integers, give rise to Galois representations with Frobenius traces equal to the corresponding Hecke eigenvalues.
Mathematics Subject Classification ID: 11F75
Mathematics Subject Classification ID: 11F80
zbMATH DE Number: 1207962
zbMATH Keywords: Hecke eigenvalues
zbMATH Keywords: torsion classes
zbMATH Keywords: Galois representations
zbMATH Keywords: Frobenius traces
reviewed by: Anton Deitmar
MaRDI profile type: Publication
full work available at URL: jnth.1998.2228
OpenAlex ID: W2008955537
cites work: Galois representations attached to mod \(p\) cohomology of \(GL(n,\mathbb{Z})\)
cites work: Modular forms in characteristic \(\ell\) and special values of their \(L\)-functions
cites work: Q5094818
cites work: Q3672070
cites work: Q4368847
cites work: \(l\)-adic representations associated to modular forms over imaginary quadratic fields. I: Lifting to \(GSp_ 4(\mathbb{Q})\)
cites work: On torsion in the cohomology of certain \(S\)-arithmetic groups
cites work: Modular Forms of Weight ½ Defined on Products of p-Adic Upper Half-Planes
cites work: Q5180606
cites work: Q3762397
cites work: \(l\)-adic representations associated to modular forms over imaginary quadratic fields. II
DOI: 10.1006/JNTH.1998.2228
description: scientific article; zbMATH DE number 1207962