Minimal representations of simple real Lie groups of Hermitian type - The Fock and the Schrödinger models

Dehbia Achab

Published 2012-06-08, updated 2014-10-09Version 4

In the recent paper [A12], a geometric realization to minimal representations of simple real Lie groups of non Hermitian type is given, based on the geometric setting introduced in [A11] and the analysis of the Brylinski-Kostant model, given in [AF12]. We give in this paper a geometric realization to minimal representations of simple real Lie groups of Hermitian type (unless the exceptional case)