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Caractères unipotents de\({}^3D_4 (\mathbb{F}_q )\)

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Commentarii Mathematici Helvetici

Résumé

On calcule les 8 caractères unipotents et les fonctions de Green du groupe fini\({}^3D_4 (\mathbb{F}_q )\) (q=p e,p premier).

Les autres caractères irréductibles complexes de\({}^3D_4 (\mathbb{F}_q )\) s'obtiennent tous en prenant des combinaisons linéaires convenables des caractères des représentations virtuellesR θT de Deligne et Lusztig [3], et ceux-ci peuvent être évalués à l'aide des fonctions de Green. On peut donc calculer tous les caractères irréductibles de\({}^3D_4 (\mathbb{F}_q )\).

L'auteur tient à remercier le Science and Engineering Research Council pour son soutien.

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Références

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  1. Forschungsinstitut für Mathematik, ETH-Zentrum, CH-8092, Zürich

    N. Spaltenstein

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  1. N. Spaltenstein
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Spaltenstein, N. Caractères unipotents de\({}^3D_4 (\mathbb{F}_q )\) . Commentarii Mathematici Helvetici 57, 676–691 (1982). https://doi.org/10.1007/BF02565880

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  • DOI: https://doi.org/10.1007/BF02565880

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