De Jan Frahm
For a simple real Lie group $G$ with Heisenberg parabolic subgroup $P$, we study the corresponding degenerate principal series representations. For a certain induction parameter the kernel of the conformally invariant system of second order differential operators constructed by Barchini, Kable and Zierau is a subrepresentation which turns out to be the minimal representation. To study this subrepresentation, we take the Heisenberg group Fourier transform in the non-compact picture and show that it yields a new realization of the minimal representation on a space of $L^ 2$-functions. The Lie algebra action is given by differential operators of order $\leq 3$ and we find explicit formulas for the lowest $K$-type. This realization can be viewed as an analogue of the Schrödinger model for the minimal representation of $O(p, q)$ as constructed by Kobayashi and Ørsted.
De Salem Ben Said
De Patrick Delorme
De Salma Nasrin
De Genkai Zhang
De Andreas Juhl
De Reiko Miyaoka
De Ali Baklouti
De Yoshiki Oshima
De Dan Barbasch
De Kazuki Kannaka
De Jan Frahm
De Angela Pasquale
De Yves André
De Vasudevan Srinivas
