Geometric structure for the principal series of a reductive p-adic group with connected centre
Geometric structure for the principal series of a reductive p-adic group with connected centre
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.
reductive p-adic group, representation theory, geometric structure, local langlands conjecture
663-680
Aubert, Anne-Marie
f1ab184a-28bd-49a7-bec5-d0abcec2fed0
Baum, Paul
fb630982-847c-4fef-8bd3-b344875be774
Plymen, Roger
76de3dd0-ddcb-4a34-98e1-257dddb731f5
Solleveld, Maarten
87e40b53-0137-45fd-8582-38da531528a4
1 July 2016
Aubert, Anne-Marie
f1ab184a-28bd-49a7-bec5-d0abcec2fed0
Baum, Paul
fb630982-847c-4fef-8bd3-b344875be774
Plymen, Roger
76de3dd0-ddcb-4a34-98e1-257dddb731f5
Solleveld, Maarten
87e40b53-0137-45fd-8582-38da531528a4
Aubert, Anne-Marie, Baum, Paul, Plymen, Roger and Solleveld, Maarten
(2016)
Geometric structure for the principal series of a reductive p-adic group with connected centre.
Journal of Noncommutative Geometry, 10 (2), .
(doi:10.4171/JNCG/244).
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.
Text
ConnectedCentre26.pdf
- Accepted Manuscript
More information
Accepted/In Press date: 22 July 2015
Published date: 1 July 2016
Keywords:
reductive p-adic group, representation theory, geometric structure, local langlands conjecture
Organisations:
Pure Mathematics
Identifiers
Local EPrints ID: 380414
URI: http://eprints.soton.ac.uk/id/eprint/380414
ISSN: 1661-6952
PURE UUID: 9a682261-c708-4279-bb3c-7e514b97d634
Catalogue record
Date deposited: 14 Sep 2015 13:19
Last modified: 14 Mar 2024 20:59
Export record
Altmetrics
Contributors
Author:
Anne-Marie Aubert
Author:
Paul Baum
Author:
Maarten Solleveld
Download statistics
Downloads from ePrints over the past year. Other digital versions may also be available to download e.g. from the publisher's website.
View more statistics