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Article Dans Une Revue Journal of Pure and Applied Algebra Année : 2015

Generalizations of the PRV conjecture, II

Résumé

Let $G\subset\hat{G}$ be two complex connected reductive groups. We deals with the hard problem of finding sub-$G$-modules of a given irreducible $\hat{G}$-module. In the case where $G$ is diagonally embedded in $\hat{G}=G\times G$, S.~Kumar and O.~Mathieu found some of them, proving the PRV conjecture. Recently, the authors generalized the PRV conjecture on the one hand to the case where $\hat{G}/G$ is spherical of minimal rank, and on the other hand giving more sub-$G$-modules in the classical case $G\subset G\times G$. In this paper, these two recent generalizations are combined in a same more general result.
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Dates et versions

hal-00634140 , version 1 (20-10-2011)

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Pierre-Louis Montagard, Boris Pasquier, Nicolas Ressayre. Generalizations of the PRV conjecture, II. Journal of Pure and Applied Algebra, 2015, 219 (12), pp.5560--5572. ⟨10.1016/j.jpaa.2015.05.033⟩. ⟨hal-00634140⟩
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