The Hecke-algebras related to the unimodular and modular group over the Hurwitz order of integral quaternions

DOI10.1007/BF02837824zbMath0659.10027MaRDI QIDQ1112093

Aloys Krieg

Publication date: 1987

Published in: Proceedings of the Indian Academy of Sciences. Mathematical Sciences (Search for Journal in Brave)

zbMATH Keywords

Hecke algebrasmodular groupunimodular groupHurwitz order of integral quaternionsSiegel's \(\Phi\)-operator

Mathematics Subject Classification ID

Other groups and their modular and automorphic forms (several variables) (11F55) Quaternion and other division algebras: arithmetic, zeta functions (11R52)

Related Items (8)

Hecke operators with respect to the modular group of quaternions ⋮ Eisenstein series on the four-dimensional hyperbolic space ⋮ Kocher-Maaß-series for modular forms of quaternions ⋮ Hecke algebras related to the unimodular and modular groups over quadratic field extensions and quaternion algebras ⋮ Eisenstein series on quaternion half-space of degree \(n\) ⋮ The Maaß space and Hecke operators ⋮ The Maaß space on the Hermitian half-space of degree 2 ⋮ Explicit computations in Hecke algebras of GL$_2$ over Dedekind domains

Cites Work

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• Modular forms on half-spaces of quaternions
• Das Vertauschungsgesetz zwischen Hecke-Operatoren und dem Siegelschen \(\Phi\) -Operator. (The commutation property between Hecke operators and Siegel's \(\Phi\) -operator)
• Arithmétique des algèbres de quaternions
• The Siegel operator and Hecke operators
• On the \(\zeta\)-functions of a division algebra
• Hecke operators with respect to the modular group of quaternions
• Einführung in die Theorie der Modulfunktionen \(n\)-ten Grades
• Hermitian modular functions
• Die Primzahlen in der Theorie der Siegelschen Modulfunktionen. (The prime numbers in the theory of Siegel's modular functions)
• The elementary divisor theory over the Hurwitz order of integral quaternions
• On the Analogue of the Modular Group in Characteristic p
• ON MODULAR CORRESPONDENCES FOR SP(N, Z ) AND THEIR CONGRUENCE RELATIONS

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