Multiplicity upon restriction to the derived subgroup

Abstract

We present a conjecture on multiplicity of irreducible representations of a subgroup $H$ contained in the irreducible representations of a group $G$, with $G$ and $H$ having the same derived groups. We point out some consequences of the conjecture, and verification of some of the consequences. We give an explicit example of multiplicity $2$ upon restriction, as well as certain theorems in the context of classical groups where the multiplicity is $1$.

Removed the former Section 6, whose main result is proved by others

Cited by in corpus (2)

• Cohomological representations for real reductive groups
• Restricting Supercuspidal Representations via a Restriction of Data