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
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
Publication date:
24.1.2024.
Visits: 479 *