The Saturation Property for Branching Rules—Examples

Abstract

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

2000 AMS Subject Classification:

• 22E46
• 17B10

Keywords:

• branching rule
• saturation

ACKNOWLEDGMENTS

N. Ressayre was partially supported by the French National Research Agency (ANR-09-JCJC-0102-01) and the Institut Universitaire de France (IUF)

Notes

¹Available respectively at www.4ti2.de and http://www.sagemath.org .

²All the programs used to obtain the results below are available at authors’ web pages: http://www.math.univ-montp2.fr/pasquier/ and http://math.univ-lyon1.fr/ressayrel .