A WEIGHT INDEPENDENCE RESULT FOR QUATERNIONIC HECKE ALGEBRAS

DOI10.1142/S1793042113500656zbMath1292.11063MaRDI QIDQ2870222

Lea Terracini

Publication date: 17 January 2014

Published in: International Journal of Number Theory (Search for Journal in Brave)

zbMATH Keywords

modular formShimura curveHecke algebraquaternion algebraHida theoryJacquet-Langlands correspondence

Mathematics Subject Classification ID

Other groups and their modular and automorphic forms (several variables) (11F55) Modular and Shimura varieties (14G35) Hecke-Petersson operators, differential operators (one variable) (11F25) Quaternion and other division algebras: arithmetic, zeta functions (11R52) Cohomology of arithmetic groups (11F75)

Cites Work

• Unnamed Item
• Congruences between modular forms and related modules
• Galois representations into \(\text{GL}_2(\mathbb Z_pX)\) attached to ordinary cusp forms.
• On p-adic Hecke algebras for \(GL_ 2\) over totally real fields
• On the cohomology groups attached to certain vector valued differential forms on the product of the upper half planes
• Automorphic forms on GL (2)
• Modules of Congruence of Hecke Algebras and L-Functions Associated with Cusp Forms
• Automorphic Forms on Adele Groups. (AM-83)

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