Galois representations with conjectural connections to arithmetic cohomology
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Publication:1847921
DOI10.1215/S0012-9074-02-11235-6zbMath1023.11025arXivmath/0102233OpenAlexW2074811056MaRDI QIDQ1847921
Darrin Doud, David Pollack, Avner Ash
Publication date: 27 October 2002
Published in: Duke Mathematical Journal (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math/0102233
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Cites Work
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- Modular forms in characteristic \(\ell\) and special values of their \(L\)-functions
- On the modular representations of degree two of \(\text{Gal}({\overline {\mathbb Q}}/{\mathbb Q})\)
- Galois representations attached to mod \(p\) cohomology of \(GL(n,\mathbb{Z})\)
- The composition factors of \(F_ p[x_ 1, x_ 2, x_ 3\) as a \(GL(3, p)\)-module]
- The representation theory of the symmetric groups
- \(S_4\) and \(\widetilde{S}_4\) extensions of \(\mathbb{Q}\) ramified at only one prime
- On finding elements in inertia groups by reduction modulo \(p\)
- An analogue of Serre's conjecture for Galois representations and Hecke eigenclasses in the \(\operatorname{mod} p\) cohomology of \(\text{GL}(n,\mathbb{Z})\)
- Modular representations of \(\text{GL}(3,\mathbb{F}_p)\), symmetric squares, and mod-\(p\) cohomology of \(\text{GL}(3,\mathbb{Z})\)
- Galois properties of points of finite order of elliptic curves
- Construction de représentations $p$-adiques
- Artin’s conjecture for representations of octahedral type
- Galois Representations, Hecke Operators, and the mod-p Cohomology of GL(3, Z) with Twisted Coefficients
- Experimental Indications of Three-dimensional Galois Representations from the Cohomology of SL(3, Z)