On Hecke Theory for Hermitian Modular Forms

Autor:	Adrian Hauffe-Waschbüsch, Aloys Krieg
Rok vydání:	2020
Předmět:	Hecke algebra Pure mathematics Tensor product Modular group Mathematics::Number Theory Modular form Congruence (manifolds) Algebraic number field Commutative property Hermitian matrix Mathematics
Zdroj:	Springer Proceedings in Mathematics & Statistics ISBN: 9789811587184
DOI:	10.1007/978-981-15-8719-1_6
Popis:	In this paper, we outline the Hecke theory for Hermitian modular forms in the sense of Hel Braun for arbitrary class number of the attached imaginary-quadratic number field. The Hecke algebra turns out to be commutative. Its inert part has a structure analogous to the case of the Siegel modular group and coincides with the tensor product of its p-components for inert primes p. This leads to a characterization of the associated Siegel-Eisenstein series. The proof also involves Hecke theory for particular congruence subgroups.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::1a46a96168959b1f4a9360d665ea2a35 https://doi.org/10.1007/978-981-15-8719-1_6 Zobrazit plný text záznamu