On the faithfulness of parabolic cohomology as a Hecke module over a finite field

Wiese, Gabor (2007) On the faithfulness of parabolic cohomology as a Hecke module over a finite field. JOURNAL FUR DIE REINE UND ANGEWANDTE MATHEMATIK, 606. pp. 79-103. ISSN 0075-4102,

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Abstract

This article exhibits conditions under which a certain parabolic group cohomology space over a finite field F is a faithful module for the Hecke algebra of cuspidal Katz modular forms over an algebraic closure of F. These results can e.g. be applied to compute cuspidal Katz modular forms of weight one with methods of linear algebra over F.

Item Type: Article
Uncontrolled Keywords: GALOIS REPRESENTATIONS; FORMS;
Subjects: 500 Science > 510 Mathematics
Divisions: Mathematics
Depositing User: Dr. Gernot Deinzer
Date Deposited: 04 Dec 2020 12:11
Last Modified: 04 Dec 2020 12:11
URI: https://pred.uni-regensburg.de/id/eprint/32827

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