The Hecke algebras for the orthogonal group SO(2,3) and the paramodular group of degree 2

DOI10.1142/S1793042118501464zbMath1445.11038arXiv1710.09156OpenAlexW2963002884WikidataQ129752697 ScholiaQ129752697MaRDI QIDQ4683197

Aloys Krieg, Jonas Gallenkämper

Publication date: 20 September 2018

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

Full work available at URL: https://arxiv.org/abs/1710.09156

zbMATH Keywords

orthogonal groupHecke algebraparamodular groupmaximal discrete extension

Mathematics Subject Classification ID

Siegel modular groups; Siegel and Hilbert-Siegel modular and automorphic forms (11F46) Hecke-Petersson operators, differential operators (several variables) (11F60)

Related Items (6)

Paramodular groups and theta series ⋮ The maximal discrete extension of \(\mathrm{SL}_2(\mathcal {O}_K)\) for an imaginary quadratic number field \(K\) ⋮ The Maaß space for paramodular groups ⋮ Congruence subgroups and orthogonal groups ⋮ Maximal discrete subgroups of 𝑆𝑂⁺(2,𝑛+2) ⋮ The maximal discrete extension of the Hermitian modular group

Cites Work

• On the local Hecke series of some classical groups over \(\mathfrak p\)-adic fields
• The Hecke algebras for the Fricke groups
• Commutator coverings of Siegel threefolds.
• Integral Orthogonal Groups
• Hecke algebras
• Minimal Siegel modular threefolds
• Arithmetical lifting and its applications
• ON MODULAR FORMS FOR THE PARAMODULAR GROUPS
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