The spaces of Siegel cusp forms of degree two and the representation of \(\mathrm{Sp}(2,\mathbb F_ p)\)

DOI10.3792/pjaa.60.209zbMath0573.10017OpenAlexW2006161773MaRDI QIDQ1063055

Ryuji Tsushima

Publication date: 1984

Published in: Proceedings of the Japan Academy. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3792/pjaa.60.209

zbMATH Keywords

irreducible representationmultiplicityprincipal congruence subgroupSiegel upper half spacespace of Siegel cusp forms

Mathematics Subject Classification ID

Siegel modular groups; Siegel and Hilbert-Siegel modular and automorphic forms (11F46) Representation-theoretic methods; automorphic representations over local and global fields (11F70)

Related Items

Zur Berechnung des Ranges der Schar der elliptischen Spitzenformen. (On the calculation of the dimension of the vector space of elliptic cusp forms) ⋮ Unnamed Item ⋮ Taylor expansions of Jacobi forms and applications to explicit structures of degree two ⋮ A twisted generalization of the classical Dedekind sum

Cites Work

• Testing list \(H\)-homomorphisms
• On the connective K-homology groups of the classifying spaces \(B{\mathbb{Z}}/p^ r\)
• On the representation of \(\text{SL}_2(F_q)\) in the space of Hilbert modular forms
• Relating 't Hooft anomalies of 4d pure Yang-Mills and 2d \(\mathbb{C} \mathbb{P}^{N-1} \) model
• On the Spaces of Siegel Cusp Forms of Degree Two
• On a generalization of a theorem of Erich Hecke
• The Characters of the Finite Symplectic Group Sp(4,q)