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S L 2 , the cubic and the quartic

Yannis Y. Papageorgiou — 1998

Annales de l'institut Fourier

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.

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