A notion of rank for unitary representations of reductive groups based on Kirillov's orbit method (Q860116)
From MaRDI portal
scientific article
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A notion of rank for unitary representations of reductive groups based on Kirillov's orbit method |
scientific article |
Statements
A notion of rank for unitary representations of reductive groups based on Kirillov's orbit method (English)
0 references
23 January 2007
0 references
The rank of irreducible unitary representations of semisimple groups was first introduced by R. Howe to characterize the `size' of the infinite-dimensional representations. In this paper, the author introduces a new notion of rank for irreducible unitary representations of semisimple groups which is based on Kirillov's method of coadjoint orbits for nilpotent groups.
0 references
rank
0 references
unitary representations
0 references
reductive groups
0 references
orbit method
0 references
0 references
0 references
0 references
0 references
