Small principal series and exceptional duality for two simply laced groups

2006/08/04 by Hadi Salmasian, Salmasian, Hadi
Mathematics · #Advanced Algebra and Geometry #Advanced Topics in Algebra #Finite Group Theory Research #math.RT

paper · pdf · doi:10.48550/arxiv.math/0608113

arxiv created 2006/10/07 · arxiv updated 2009/12/01

Abstract

A notion of rank developed previously by the author is used to describe two correspondences which classify small unitary representations of split real forms of E₆ and E₇. The case of small principal series is studied in detail.

Related

• Isolatedness of the minimal representation and minimal decay of exceptional groups
• Representations with Small K Types
• Exceptional dual pair correspondences; case of real groups of split rank one
• The Structure of Degenerate Principal Series Representations of Exceptional Groups of Type E₆ over p-adic Fields
• Rank and Duality in Representation Theory