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Duality for nonlinear simply laced groups

Part of: Lie groups

Published online by Cambridge University Press:  19 March 2012

Jeffrey Adams  and
Peter E. Trapa
Jeffrey Adams
Affiliation:
Department of Mathematics, University of Maryland, College Park, MD 20742, USA (email: jda@math.umd.edu)
Peter E. Trapa
Affiliation:
Department of Mathematics, University of Utah, Salt Lake City, UT 84112, USA (email: ptrapa@math.utah.edu)
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Abstract

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We establish a character multiplicity duality for a certain natural class of nonlinear (nonalgebraic) groups arising as two-fold covers of simply laced real reductive algebraic groups. This allows us to extend part of the formalism of the local Langlands conjecture to such groups.

Keywords

local Langlands conjecturenonlinear groupsKazhdan–Lusztig theory

MSC classification

Secondary: 22E47: Representations of Lie and real algebraic groups
Type
Research Article
Information
Compositio Mathematica , Volume 148 , Issue 3 , May 2012 , pp. 931 - 965
Copyright
Copyright © Foundation Compositio Mathematica 2012

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