arXiv Open Access 2018

Unipotent Representations and Microlocalization

Lucas Mason-Brown

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Abstrak

We develop a theory of microlocalization for Harish-Chandra modules, adapting a construction of Losev (\cite{Losev2011}). We explore the applications of this theory to unipotent representations of real reductive groups. For complex groups, we deduce a formula for the $K$-multiplicities of unipotent representations attached to a nilpotent orbit $\OO$, proving an old conjecture of Vogan (\cite{Vogan1991}) in a large family of cases.

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math.RT

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Lucas Mason-Brown

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APA MLA BibTeX

Mason-Brown, L. (2018). Unipotent Representations and Microlocalization. https://arxiv.org/abs/1805.12038

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Informasi Jurnal

Tahun Terbit: 2018
Bahasa: en
Sumber Database: arXiv
Akses: Open Access ✓