Reference : On the faithfulness of parabolic cohomology as a Hecke module over a finite field
Scientific journals : Article
Physical, chemical, mathematical & earth Sciences : Mathematics
http://hdl.handle.net/10993/11543
On the faithfulness of parabolic cohomology as a Hecke module over a finite field
English
Wiese, Gabor mailto [University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Mathematics Research Unit >]
2007
Journal für die Reine und Angewandte Mathematik
606
79--103
Yes (verified by ORBilu)
International
0075-4102
[en] In this article we prove that under certain conditions the Hecke algebra of cuspidal modular forms over F_p coincides with the Hecke algebra of a certain parabolic group cohomology group with coefficients in F_p. These results can e.g. be used to compute Katz modular forms of weight one over an algebraic closure of F_p with methods of linear algebra over F_p.
http://hdl.handle.net/10993/11543
10.1515/CRELLE.2007.035
2337642 (2008g:11092)

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