3 citations · 4 across the 6 of their papers we have counts for
6 papers
Analysis of the minimal representation of Sp(r,R)
Dehbia Achab
The minimal representations of Sp(r,R) can be realized on a Hilbert space of holomorphic functions. This is the analogue of the Brylinski-Kostant model. It can also be realized on…
Analysis of minimal representations of SL(n,R)
Dehbia Achab
Some minimal representations of SL(n,R) can be realized on a Hilbert space of holomorphic functions. This is the analogue of the Brylinski-Kostant model. They can also be realized…
Minimal representations of simple real Lie groups of Hermitian type
Dehbia Achab
In the recent paper [A14], a geometric realization to minimal representations of simple real Lie groups of non Hermitian type is given, based on the geometric setting introduced in…
Minimal representations of simple real Lie groups of non Hermitian type
Dehbia Achab
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 gene…
Analysis of the Brylinski-Kostant model for spherical minimal representations
Dehbia Achab, Jacques Faraut
We revisit with another view point the construction by R. Brylinski and B. Kostant of minimal representations of simple Lie groups. We start from a pair , where is a com…
Discrete group actions on Stein domains in complex Lie groups
Dehbia Achab, Frank Betten, Bernhard Kroetz
This paper deals with the analytic continuation of holomorphic automorphic forms on a Lie group . We prove that for any discrete subgroup of there always exists a non-tr…