Details

Autor(en) / Beteiligte

• Krieg, Aloys
• Römer, Hannah
• Schaps, Felix

Titel

Hecke theory for SO+(2,n + 2)

Ist Teil von

• Journal of number theory, 2024-09, Vol.262, p.454-470

Ort / Verlag

Elsevier Inc

Erscheinungsjahr

2024

Link zum Volltext

Quelle

Elsevier ScienceDirect Journals

Beschreibungen/Notizen

• We describe the foundations of a Hecke theory for the orthogonal group SO+(2,n+2). In particular we consider the Hermitian modular group of degree 2 as a special example of SO+(2,4). As an application we show that the attached Maaß space is invariant under Hecke operators. This implies that the Eisenstein series belongs to the Maaß space. If the underlying lattice is even and unimodular, our approach allows us to reprove the explicit formula of its Fourier coefficients.