Journal title
Indagationes Mathematicae
DOI
10.1016/j.indag.2021.09.004
Issue
1
Volume
33
Last updated
2023-05-22T13:40:25.44+01:00
Page
1-23
Abstract
I present several applications of the Dirac inequality to the determination of isolated unitary representations and associated “spectral gaps” in the case of unramified principal series. The method works particularly well in order to attach irreducible unitary representations to the large nilpotent orbits (e.g., regular, subregular) in the Langlands dual complex Lie algebra. The results could be viewed as a p-adic analogue of Salamanca-Riba’s classification of irreducible unitary (g, K) -modules with strongly regular infinitesimal character.
Symplectic ID
1169354
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Publication type
Journal Article
Publication date
20 Sep 2021