J. Austral. Math. Soc.
73 (2002), 279-299
|
Analyse conforme sur les algèbres de Jordan
|
M. Pevzner
Université Libre de Bruxelles
CP 218, Campus de la Plaine
1050 Brussels
Belgium
mpevzner@ulb.ac.be
|
|
|
Abstract
|
We construct the Weil representation of the
Kantor-Koecher-Tits Lie
algebra  associated to a simple real Jordan
algebra  . Later we introduce a family of integral
operators intertwining the Weil representation
with the infinitesimal representations of the
degenerate principal series of the conformal
group  of the Jordan
algebra  . The decomposition
of  in the case of Jordan algebra of real square
matrices is given using this construction.
|
Download the article in PDF format (size 162 Kb)
|
|
|
|