Publications and communications of Gabor Wiese [gabor.wiese@uni.lux]
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See detailOn the faithfulness of parabolic cohomology as a Hecke module over a finite field
Wiese, Gabor UL

in Journal für die Reine und Angewandte Mathematik (2007), 606

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 ... [more ▼]

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. [less ▲]

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See detailMultiplicities of Galois representations of weight one
Wiese, Gabor UL

in Algebra and Number Theory (2007), 1(1), 67--85

In this article we consider mod p modular Galois representations which are unramified at p such that the Frobenius element at p acts through a scalar matrix. The principal result states that the ... [more ▼]

In this article we consider mod p modular Galois representations which are unramified at p such that the Frobenius element at p acts through a scalar matrix. The principal result states that the multiplicity of any such representation is bigger than 1. [less ▲]

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See detailDihedral Galois representations and Katz modular forms
Wiese, Gabor UL

in Documenta Mathematica (2004), 9

We show that any two-dimensional odd dihedral representation \rho over a finite field of characteristic p>0 of the absolute Galois group of the rational numbers can be obtained from a Katz modular form of ... [more ▼]

We show that any two-dimensional odd dihedral representation \rho over a finite field of characteristic p>0 of the absolute Galois group of the rational numbers can be obtained from a Katz modular form of level N, character \epsilon and weight k, where N is the conductor, \epsilon is the prime-to-p part of the determinant and k is the so-called minimal weight of \rho. In particular, k=1 if and only if \rho is unramified at p. Direct arguments are used in the exceptional cases, where general results on weight and level lowering are not available. [less ▲]

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See detailA database of invariant rings
Kemper, Gregor; Körding, Elmar; Malle, Gunter et al

in Experimental Mathematics (2001), 10(4), 537--542

We announce the creation of a database of invariant rings. This database contains a large number of invariant rings of finite groups, mostly in the modular case. It gives information on generators and ... [more ▼]

We announce the creation of a database of invariant rings. This database contains a large number of invariant rings of finite groups, mostly in the modular case. It gives information on generators and structural properties of the invariant rings. The main purpose is to provide a tool for researchers in invariant theory. [less ▲]

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