Hecke algebras related to the unimodular and modular groups over hermitian fields and definite quaternion algebras

Details Hecke algebras related to the unimodular and modular groups over hermitian fields and definite quaternion algebras Hecke algebras related to the unimodular and modular groups over hermitian fields and definite quaternion algebras

2009-07-16

arxiv.org/abs/0907.2766v1

Mathematics

Number Theory

11 pages

Scientific paper

We investigate the structure of the Hecke algebras related to the unimodular
and modular group over hermitian fields and definite quaternion algebras. In
particular we show that in general there is no decomposition into primary
components. We can give a set of generators and in some special cases we deduce
the law of interchange of the Siegel $\Phi$-operator.

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