We motivate, discuss history of, and present a solution to the following problem: describe pairs (G,V) where V is an irreducible representation of the symmetric group Sn of dimension > 1 and G is a subgroup of Sn such that the restriction of V to G is irreducible. We do the same with the alternating group An in place of Sn.
The latest results on the problem are joint with Pham Huu Tiep and Lucia Morotti.
This video was produced by the Okinawa Institute of Science and Technology, as part of their OIST Representation Theory Seminar series.
