Minimal representations of E6, E7, and E8 and the generalized Capelli identity.
We explicitly construct, in a uniform fashion, the (unique) minimal and spherical representation pi0 of the split real Lie group of exceptional type E6, E7, or E8. We obtain several algebraic and analytic results about pi0.
Brylinski
R
R
Pennsylvania State University, University Park, PA 16802, USA.
Kostant
B
B