Hecke operators on Hilbert-Siegel modular forms

Details Hecke operators on Hilbert-Siegel modular forms Hecke operators on Hilbert-Siegel modular forms

2007-10-23

arxiv.org/abs/0710.4224v1

Mathematics

Number Theory

Scientific paper

We define Hilbert-Siegel modular forms and Hecke "operators" acting on them. As with Hilbert modular forms, these linear transformations are not linear operators until we consider a direct product of spaces of modular forms (with varying groups), modulo natural identifications we can make between certain spaces. With Hilbert-Siegel forms we identify several families of natural identifications between certain spaces of modular forms. We associate the Fourier coefficients of a form in our product space to even integral lattices, independent of a basis and choice of coefficient rings. We then determine the action of the Hecke operators on these Fourier coefficients, paralleling the result of Hafner and Walling for Siegel modular forms (where the number field is the field of rationals).

Affiliated with

Also associated with

No associations

Rating

Hecke operators on Hilbert-Siegel modular forms does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Hecke operators on Hilbert-Siegel modular forms, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Hecke operators on Hilbert-Siegel modular forms will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-455970