Article Dans Une Revue Compositio Mathematica Année : 2011

Two generalizations of the PRV conjecture

Résumé

Let G be a complex connected reductive group. The PRV conjecture, which was proved independently by S. Kumar and O. Mathieu in 1989, gives explicit irreducible submodules of the tensor product of two irreducible G-modules. This paper has three aims. First, we simplify the proof of the PRV conjecture, then we generalize it to other branching problems. Finally, we find other irreducible components of the tensor product of two irreducible G-modules that appear for ''the same reason'' as the PRV ones.

Fichier principal
Vignette du fichier
prv_MPRarxiv.pdf (220.96 Ko) Télécharger le fichier
Origine Fichiers produits par l'(les) auteur(s)
Licence
Loading...

Dates et versions

hal-00471690 , version 1 (08-04-2010)

Licence

Identifiants

Citer

Pierre-Louis Montagard, Boris Pasquier, Nicolas Ressayre. Two generalizations of the PRV conjecture. Compositio Mathematica, 2011, 147 (04), pp.1321-1336. ⟨10.1112/S0010437X10005233⟩. ⟨hal-00471690⟩
124 Consultations
414 Téléchargements

Altmetric

Partager

  • More