Minimal representations of simple real Lie groups of non Hermitian type

JOURNAL OF GEOMETRY AND PHYSICS

卷:119

Article

Achab, Dehbia¹ 

[1] Univ Paris 06, Inst Math Jussieu, 4 Pl Jussieu,Case 247, F-75252 Paris 05, France

关键词: Minimal representation;    Conformal group;    Bernstein identity;    Hypergeometric function;    Meijer G-function;   

DOI  :  10.1016/j.geomphys.2017.04.006

来源: Elsevier

【 摘 要 】

In the recent paper (Achab and Faraut, 2012), 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. (C) 2017 Published by Elsevier B.V.

【 授权许可】

Free