Algorithm 48. Solving boundary value problems for the biharmonic equation by the method of summary representations
S. Lewanowicz (1976)
Applicationes Mathematicae
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S. Lewanowicz (1976)
Applicationes Mathematicae
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D. Blasius, G. Anderson, G. Zettler (1994)
Forum mathematicum
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Adam Logan (2002)
Acta Arithmetica
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Martin Herschend (2007)
Colloquium Mathematicae
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We study the Clebsch-Gordan problem for quiver representations, i.e. the problem of decomposing the point-wise tensor product of any two representations of a quiver into its indecomposable direct summands. For this purpose we develop results describing the behaviour of the point-wise tensor product under Galois coverings. These are applied to solve the Clebsch-Gordan problem for the double loop quivers with relations αβ = βα = αⁿ = βⁿ = 0. These quivers were originally studied by I....
Nigel Boston (1991)
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Cassou-Noguès, Philippe, Jehanne, Arnaud (1996)
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B. Mazur (1997)
Collectanea Mathematica
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I hope this article will be helpful to people who might want a quick overview of how modular representations fit into the theory of deformations of Galois representations. There is also a more specific aim: to sketch a construction of a point-set topological'' configuration (the image of an infinite fern'') which emerges from consideration of modular representations in the universal deformation space of all Galois representations. This is a configuration hinted previously, but now, thanks...
Peder Frederiksen, Ian Kiming (2004)
Acta Arithmetica
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Teresa Crespo (1990)
Journal für die reine und angewandte Mathematik
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Hulpke, Alexander (1995)
Experimental Mathematics
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Chris Skinner (2003)
Journal de théorie des nombres de Bordeaux
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This paper is essentially the text of the author’s lecture at the 2001 Journées Arithmétiques. It addresses the problem of identifying in Galois-theoretic terms those two-dimensional, -adic Galois representations associated to holomorphic Hilbert modular newforms.
Dobrev, V. K., Moylan, P.
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Wen-Ch'ing Winnie Li (1980)
Journal für die reine und angewandte Mathematik
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Wojciech Gajda, Sebastian Petersen (2016)
Banach Center Publications
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The paper contains an expanded version of the talk delivered by the first author during the conference ALANT3 in Będlewo in June 2014. We survey recent results on independence of systems of Galois representations attached to ℓ-adic cohomology of schemes. Some other topics ranging from the Mumford-Tate conjecture and the Geyer-Jarden conjecture to applications of geometric class field theory are also considered. In addition, we have highlighted a variety of open questions which can lead...