The saturation property for branching rules -- Examples

Boris Pasquier (1) , Nicolas Ressayre (2, 3)

1 I3M - Institut de Mathématiques et de Modélisation de Montpellier
2 ICJ - Institut Camille Jordan
3 AGL - Algèbre, géométrie, logique

For a few pairs $G\subset \hat G$ of reductive groups, we study the decomposition of irreducible $\hait G$-modules into $G$-modules. In particular, we observe the saturation property for all of these pairs.

Mots clés: Branching rule; saturation property.; saturation property

Domaines: Géométrie algébrique [math.AG]; Théorie des représentations [math.RT]

Boris Pasquier, Nicolas Ressayre. The saturation property for branching rules -- Examples. Experimental Mathematics, 2013, 22 (3), pp.299-312. ⟨10.1080/10586458.2013.813746⟩. ⟨hal-00732292⟩