1. Unipotent representations and microlocalization.
- Author
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Mason-Brown, Lucas
- Subjects
- *
REPRESENTATION theory , *LOCALIZATION (Mathematics) , *MAXIMAL subgroups , *MATHEMATICS - Abstract
We develop a theory of microlocalization for Harish-Chandra modules, adapting a construction of Losev [Duke Math. J. 159 (2011), pp. 99–143]. We explore the applications of this theory to unipotent representations of real reductive groups. For a unipotent representation of a complex group, we deduce a formula for the restriction to a maximal compact subgroup, proving an old conjecture of Vogan [ Associated varieities and unipotent representations , Birkhäuser Boston, Boston, MA, 1991] in a large family of cases. [ABSTRACT FROM AUTHOR]
- Published
- 2023
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