Geometric structure for the principal series of a split reductive p-adic group with connected centre

Anne Marie Aubert; Paul Baum; Roger Plymen; Maarten Solleveld

doi:10.4171/JNCG/244

Geometric structure for the principal series of a split reductive p-adic group with connected centre

Anne Marie Aubert, Paul Baum, Roger Plymen, Maarten Solleveld

Mathematics

Research output: Contribution to journal › Article › peer-review

5 Scopus citations

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 formT // W where T is a maximal torus in the Langlands dual group of G and W is the Weyl group of G.

Original language	English (US)
Pages (from-to)	663-680
Number of pages	18
Journal	Journal of Noncommutative Geometry
Volume	10
Issue number	2
DOIs	https://doi.org/10.4171/JNCG/244
State	Published - 2016

All Science Journal Classification (ASJC) codes

Algebra and Number Theory
Mathematical Physics
Geometry and Topology

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10.4171/JNCG/244

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title = "Geometric structure for the principal series of a split reductive p-adic group with connected centre",

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 formT // W where T is a maximal torus in the Langlands dual group of G and W is the Weyl group of G.",

author = "Aubert, {Anne Marie} and Paul Baum and Roger Plymen and Maarten Solleveld",

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AU - Aubert, Anne Marie

AU - Baum, Paul

AU - Plymen, Roger

AU - Solleveld, Maarten

N1 - Publisher Copyright: © European Mathematical Society.

PY - 2016

Y1 - 2016

N2 - 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 formT // W where T is a maximal torus in the Langlands dual group of G and W is the Weyl group of G.

AB - 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 formT // W where T is a maximal torus in the Langlands dual group of G and W is the Weyl group of G.

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Geometric structure for the principal series of a split reductive p-adic group with connected centre

Abstract

All Science Journal Classification (ASJC) codes

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