Hecke theory for \(SO^+ (2, n + 2)\)

DOI10.1016/J.JNT.2024.03.003MaRDI QIDQ6556226

Aloys Krieg, Hannah Römer, Felix Schaps

Publication date: 17 June 2024

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

zbMATH Keywords

orthogonal groupEisenstein seriesFourier coefficientsHecke operatorMaaß spacediscriminant kernel

Mathematics Subject Classification ID

Other groups and their modular and automorphic forms (several variables) (11F55) Hecke-Petersson operators, differential operators (several variables) (11F60) Automorphism groups of lattices (11H56)

Cites Work

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• Eine Charakterisierung der Eisenstein-Reihe zur Siegelschen Modulgruppe. (A characterization of the Eisenstein series for the Siegel modular group)
• The Minnesota notes on Jordan algebras and their applications. Edited and annotated by Aloys Krieg and Sebastian Walcher
• Automorphic forms on \(O_{s+2,2}(\mathbb R)\) and infinite products
• Jacobi forms of several variables and the Maaß space
• On Hecke theory for Hermitian modular forms
• The maximal discrete extension of the Hermitian modular group
• On some free algebras of orthogonal modular forms
• The graded ring of modular forms on the Cayley half-space of degree two
• Simple lattices and free algebras of modular forms
• Integral orthogonal groups
• Maximal discrete subgroups of 𝑆𝑂⁺(2,𝑛+2)
• Hecke algebras
• The Hecke algebras for the orthogonal group SO(2,3) and the paramodular group of degree 2
• The Fourier-Jacobi functions of n
• Orthogonal Eisenstein series and theta lifts

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