$SL_2$, the cubic and the quartic

Papageorgiou, Yannis Y.

doi:10.5802/aif.1610

S L_{2}

, the cubic and the quartic

Papageorgiou, Yannis Y.

Annales de l'Institut Fourier, Tome 48 (1998) no. 1, pp. 29-71.

Résumé
Abstract

On donne une description de la restriction des modules de $S p_{4}$ à $S L_{2}$ , où $S L_{2}$ est considéré comme sous-groupe par l’action sur les formes binaires cubiques. On obtient une formule numérique pour les multiplicités, et un ensemble minimal de générateurs pour la réalisation géométrique naturelle de cette formule.

We describe the branching rule from $S p_{4}$ to $S L_{2}$ , where the latter is embedded via its action on binary cubic forms. We obtain both a numerical multiplicity formula, as well as a minimal system of generators for the geometric realization of the rule.

MR Zbl

DOI : 10.5802/aif.1610

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     title = {$SL_2$, the cubic and the quartic},
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     volume = {48},
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Papageorgiou, Yannis Y. $SL_2$, the cubic and the quartic. Annales de l'Institut Fourier, Tome 48 (1998) no. 1, pp. 29-71. doi : 10.5802/aif.1610. http://archive.numdam.org/articles/10.5802/aif.1610/

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