Jeffrey D. Adler, Dipendra Prasad
Published 2018-06-10Version 1
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 $1$.
On the restriction of some irreducible mod-$p$ representations of $\text{GL}_2(\mathbb{F}_q)$ to $\text{GL}_2(\mathbb{F}_p)$
Irreducible representations of Yangians
Irreducible representations of unipotent subgroups of symplectic and unitary groups defined over rings
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