Hostname: page-component-586b7cd67f-l7hp2 Total loading time: 0 Render date: 2024-11-20T18:29:28.916Z Has data issue: false hasContentIssue false
  • English
  • Français

On the local theta correspondence and R-groups

Published online by Cambridge University Press:  04 December 2007

Atsushi Ichino
Atsushi Ichino
Affiliation:
Department of Mathematics, Graduate School of Science, Osaka City University, 3-3-138 Sugimoto, Sumiyoshi-ku, Osaka 558-8585, [email protected]
Rights & Permissions [Opens in a new window]

Abstract

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.

For the reductive dual pair (U(n, n), U(n, n)) over a p-adic field, we study the local theta correspondence for certain tempered representations in terms of R-groups. In the case we consider, the Langlands parameter is preserved, but, a twist occurs in the L-packet. Moreover this twist is determined by root numbers.

Keywords

local theta correspondenceR-groupsroot numbers11F2722E50
Type
Research Article
Information
Compositio Mathematica , Volume 140 , Issue 2 , March 2004 , pp. 301 - 316
Copyright
Foundation Compositio Mathematica 2004