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Salmasian, Hadi

A notion of rank for unitary representations of reductive groups based on Kirillov’s orbit method. (English) Zbl 1111.22013

Duke Math. J. 136, No. 1, 1-49 (2007).
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.
Reviewer: Benjamin Cahen (Metz)

Cited in 3 Reviews
Cited in 4 Documents

MSC:

22E46 Semisimple Lie groups and their representations
22E50 Representations of Lie and linear algebraic groups over local fields
11F27 Theta series; Weil representation; theta correspondences

Keywords:

rank; unitary representations; reductive groups; orbit method
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\textit{H. Salmasian}, Duke Math. J. 136, No. 1, 1--49 (2007; Zbl 1111.22013)
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