Monomial Galois representations and Hecke eigenclasses in the mod-\(p\) cohomology of \(\text{GL}((p-1),\mathbb{Z})\)

DOI10.1007/s002080050367zbMath0955.11013OpenAlexW1965345942MaRDI QIDQ1818925

Avner Ash

Publication date: 25 January 2000

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s002080050367

zbMATH Keywords

Galois representationHecke eigenvaluesSerre's conjecturecohomology classes of arithmetic groupsmod-\(p\) modular newform

Mathematics Subject Classification ID

Automorphic forms, one variable (11F12) Cohomology of arithmetic groups (11F75)

Related Items

The number of monomial mod \(p\) Galois representations with bounded conductor, An analogue of Serre's conjecture for Galois representations and Hecke eigenclasses in the \(\operatorname{mod} p\) cohomology of \(\text{GL}(n,\mathbb{Z})\), Smith theory and Hecke operators.