Research report 2008 - Max Planck Institute for Mathematics
Multiplicity one theorems in representation theory
Authors
Aizenbud, Avraham; Gourevitch, Dmitry
Departments
Mathematik
MPI für Mathematik, Bonn
Summary
An important question of Representation Theory
is "what happens to an irreducible representation of a group when one restricts it to a subgroup?".
Usually it stops being irreducible and it is interesting to know whether it decomposes to distinct irreducible representations. This report contains an exposition on this question and a short description of a recent proof that in the case of the pair (GL(n+1),GL(n)) over local fields the answer is positive.