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Rad Hrvatske akademije znanosti i umjetnosti. Matematičke znanosti, No. 558=28, 2024.

Original scientific paper

https://doi.org/10.21857/yq32oh8v89

Sharpening the Dirac inequality

Pavle Pandžić ; Department of Mathematics, Faculty of Science, University of Zagreb, Bijenička 30, 10000 Zagreb, Croatia
Ana Prlić ; Department of Mathematics, Faculty of Science, University of Zagreb, Bijenička 30, 10000 Zagreb, Croatia

Full text: english pdf 541 Kb

page 327-337

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Abstract

We explain an idea towards a possible proof of a conjecture of Salamanca-Riba and Vogan. This conjecture, also called the Convex hull conjecture, sharpens the well known Dirac inequality of Partahasarathy, which has been useful in several partial classifications of unitary representations of real reductive groups. The idea we present originates from collaboration with David Renard.

Keywords

Real reductive group; representation; Harish-Chandra module; Dirac operator; Dirac inequality

Hrčak ID:

313636

URI

https://hrcak.srce.hr/313636

Publication date:

24.1.2024.

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