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arXiv · 1806.03635

Multiplicity upon restriction to the derived subgroup

Jeffrey D. Adler·Dipendra Prasad
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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 $1$.

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BibTeXRIS

Jeffrey D. Adler, Dipendra Prasad. 2018-06-10. Multiplicity upon restriction to the derived subgroup. https://doi.org/10.2140/pjm.2019.301.1

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