Multiplicity upon restriction to the derived subgroup
Representation Theory
2019-09-18 v3
Abstract
We present a conjecture on multiplicity of irreducible representations of a subgroup contained in the irreducible representations of a group , with and 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 upon restriction, as well as certain theorems in the context of classical groups where the multiplicity is .
Cite
@article{arxiv.1806.03635,
title = {Multiplicity upon restriction to the derived subgroup},
author = {Jeffrey D. Adler and Dipendra Prasad},
journal= {arXiv preprint arXiv:1806.03635},
year = {2019}
}
Comments
Removed the former Section 6, whose main result is proved by others