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Publications and communications of Gabor Wiese [gabor.wiese@uni.lux]
Dihedral Galois representations and Katz modular forms Wiese, Gabor 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 ▲] Detailed reference viewed: 68 (3 UL)A database of invariant rings ; ; 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 ▲] Detailed reference viewed: 120 (1 UL) |
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