Mathematics – Representation Theory
Scientific paper
2007-05-15
Mathematics
Representation Theory
111 pages, no figures
Scientific paper
In the first part, in the local non archimedean case, we consider distributions on GL(n+1) which are invariant under the adjoint action of GL(n). We conjecture that such distributions are invariant by transposition. This would imply multiplicity at most one for restrictions from GL(n+1) to GL(n). We reduce ourselves to distributions with "singular" support and then finish the proof for n< 9. In the second part we show that similar Theorems for orthogonal or unitary groups follow from the case of GL(n)
Rallis Steve
Schiffmann Gérard
No associations
LandOfFree
Multiplicity one Conjectures does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Multiplicity one Conjectures, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Multiplicity one Conjectures will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-623186