Minimal representations of simple real Lie groups of non Hermitian type

Abstract

In the recent paper [AF12], we introduced an analysis of the Brylinski-Kostant model for spherical minimal representations for simple real Lie groups of non Hermitian type. We generalize here that analysis and give a unified geometric realization to a family of unitary irreducible representations of such groups.

arXiv comment55 pages. arXiv admin note: text overlap with arXiv:1101.4402