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

Hadi Salmasian
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Abstract

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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BibTeXRIS

Hadi Salmasian. 2006-08-21. A notion of rank for unitary representations of reductive groups based on Kirillov's orbit method. https://arxiv.org/abs/math/0504363

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