Differential Galois realization of double covers
[Réalisation galoisienne différentielle de revêtements doubles]
Annales de l'Institut Fourier, Tome 52 (2002) no. 4, pp. 1017-1025.

Nous présentons une construction effective d’équations différentielles linéaires homogènes d’ordre 2 à groupe de Galois 2A 4 ,2S 4 ou 2A 5 .

An effective construction of homogeneous linear differential equations of order 2 with Galois group 2A 4 ,2S 4 or 2A 5 is presented.

DOI : 10.5802/aif.1908
Classification : 12H05, 11F80, 12F12
Keywords: Picard-Vessiot extension, symmetric square of a differential equation, group representations
Mot clés : extension de Picard-Vessiot, carré symétrique d'une équation différentielle, représentations de groupes
Crespo, Teresa 1 ; Hajto, Zbigniew 2

1 Universitat de Barcelona, Departament d'Àlgebra i Geometria, Gran via de les Corts Catalanes 585, 08007 Barcelona (Espagne)
2 Akademia Rolnicza, Zaklad Matematyki, al. Mickiewicza 24/28, 30-059 Kraków (Pologne)
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Crespo, Teresa; Hajto, Zbigniew. Differential Galois realization of double covers. Annales de l'Institut Fourier, Tome 52 (2002) no. 4, pp. 1017-1025. doi : 10.5802/aif.1908. http://www.numdam.org/articles/10.5802/aif.1908/

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