Das Vertauschungsgesetz zwischen Hecke-Operatoren und dem Siegelschen \(\Phi\) -Operator. (The commutation property between Hecke operators and Siegel's \(\Phi\) -operator)

DOI10.1007/BF01200463zbMath0566.10019OpenAlexW2026999361MaRDI QIDQ1059101

Aloys Krieg

Publication date: 1986

Published in: Archiv der Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01200463

zbMATH Keywords

Hecke operatorsHecke algebracommutationSiegel modular groupSiegel phi-operator

Mathematics Subject Classification ID

Theta series; Weil representation; theta correspondences (11F27)

Related Items

Cuspidality and the growth of Fourier coefficients of modular forms: a survey, On automorphic forms on the unitary symplectic group \(\mathrm{Sp}(n)\) and \(\mathrm{SL}_ 2(\mathbb R)\), Cuspidality and the growth of Fourier coefficients of modular forms, The Hecke-algebras related to the unimodular and modular group over the Hurwitz order of integral quaternions, LIFTING PUZZLES IN DEGREE FOUR, Using Katsurada’s determination of the Eisenstein series to compute Siegel eigenforms, A Note on Eigenvalues of Hecke Operators on Siegel Modular Forms of Degree Two, Siegel Modular Forms and Their Applications, On Hecke eigenforms of degree \(n\), Computations of vector-valued Siegel modular forms, The Maaß space on the Hermitian half-space of degree 2, Inverting the Satake map for \(\text{Sp}_n\) and applications to Hecke operators

Cites Work

• The Siegel operator and Hecke operators
• Theory of spherical functions on reductive algebraic groups over p-adic fields
• Die Primzahlen in der Theorie der Siegelschen Modulfunktionen. (The prime numbers in the theory of Siegel's modular functions)