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

Research output: Contribution to journalArticle

4 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 languageEnglish (US)
Pages (from-to)663-680
Number of pages18
JournalJournal of Noncommutative Geometry
Volume10
Issue number2
DOIs
StatePublished - Jan 1 2016

All Science Journal Classification (ASJC) codes

  • Algebra and Number Theory
  • Mathematical Physics
  • Geometry and Topology

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