Aubert, Anne-Marie and Baum, Paul and Plymen, Roger and Solleveld, Maarten (2015) Geometric structure for the principal series of a split reductive p-adic group with connected centre. [MIMS Preprint]
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Abstract
Let G be a split reductive p-adic group with connected centre. We show that each Bernstein block in the principal series of G admits a definite geometric structure, namely that of an extended quotient. For the Iwahori-spherical block, this extended quotient has the form T//W where T is a maximal torus in the Langlands dual group of G and W is the Weyl group of G.
| Item Type: | MIMS Preprint |
|---|---|
| Additional Information: | J. Noncommutative Geometry, to appear |
| Uncontrolled Keywords: | Reductive p-adic group, extended quotient, geometric structure, Langlands dual group |
| Subjects: | MSC 2010, the AMS's Mathematics Subject Classification > 11 Number theory MSC 2010, the AMS's Mathematics Subject Classification > 20 Group theory and generalizations MSC 2010, the AMS's Mathematics Subject Classification > 22 Topological groups, Lie groups |
| Depositing User: | Professor Roger Plymen |
| Date Deposited: | 15 Aug 2015 |
| Last Modified: | 08 Nov 2017 18:18 |
| URI: | https://eprints.maths.manchester.ac.uk/id/eprint/2367 |
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