A notion of rank for unitary representations of reductive groups based on Kirillov's orbit method

Details A notion of rank for unitary representations of reductive groups based on Kirillov's orbit method A notion of rank for unitary representations of reductive groups based on Kirillov's orbit method

2005-04-18

arxiv.org/abs/math/0504363v2

Mathematics

Representation Theory

Scientific paper

We introduce a new notion of rank for unitary representations of semisimple
groups over a local field of characteristic zero. The theory is based on
Kirillov's method of orbits for nilpotent groups over local fields. When the
semisimple group is classical, we prove that the new theory is essentially
equivalent to Howe's theory of N-rank.

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