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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
Affiliation:
Department of Mathematics, University of Maryland, College Park, MD 20742, USA (email: [email protected])
Peter E. Trapa
Affiliation:
Department of Mathematics, University of Utah, Salt Lake City, UT 84112, USA (email: [email protected])
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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.

Type
Research Article
Copyright
Copyright © Foundation Compositio Mathematica 2012

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