On Galois representations associated to Hilbert modular forms

DOI10.1007/BF01388853zbMath0705.11031MaRDI QIDQ917586

Richard Taylor

Publication date: 1989

Published in: Inventiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/143729

zbMATH Keywords

congruencesquaternion algebrasHecke algebraautomorphic representationtotally real number fieldsHilbert cusp forms2-dimensional Galois representationseven degreepseudo-representations

Mathematics Subject Classification ID

Congruences for modular and (p)-adic modular forms (11F33) Galois representations (11F80) Representation-theoretic methods; automorphic representations over local and global fields (11F70) Automorphic forms on (mbox{GL}(2)); Hilbert and Hilbert-Siegel modular groups and their modular and automorphic forms; Hilbert modular surfaces (11F41)

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Cites Work

• Unnamed Item
• Unnamed Item
• On Artin L-functions associated to Hilbert modular forms of weight one
• On p-adic Hecke algebras for \(GL_ 2\) over totally real fields
• On ordinary \(\lambda\)-adic representations associated to modular forms
• The special values of the zeta functions associated with Hilbert modular forms
• Theta series and automorphic forms on \(\text{GL}_2\)
• The Selberg trace formula for groups of F-rank one
• Cohomologie d'intersection et fonctions $L$ de certaines variétés de Shimura
• Sur les représentations $l$-adiques associées aux formes modulaires de Hilbert
• Galois representations for Hilbert modular forms

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