MATRIX COEFFICIENTS OF REPRESENTATIONS OF SU(2,2): THE CASE OF PJ-PRINCIPAL SERIES

The real Lie group G=SU(2,2) has a standard maximal parabolic subgroup PJ corresponding to the long simple roots in its restricted root system. We have an explicit formula of the holonomic system of the radial part of the matrix coefficients with corner K-type of the generalized principal series representations of G obtained by parabolic induction with respect to PJ from the discrete series representations of MJ. It is equivalent to the modified F2 system of Appell.

GERMINATION AND SEEDLING GROWTH OF ALFALFA, SAINFOIN, AND CICER MILKVETCH

Seedlings of alfalfa (Medicago sativa L.), cult Roamer, sainfoin (Onobrychis viciaefolia Scop.), cult Melrose, and cicer milkvetch (Astragalus cicer L.), cult Oxley, were grown in the greenhouse for 10 weeks. Each week 20 plants of each species were harvested for growth analysis. The growth rate of cicer milkvetch was not significantly different from that of alfalfa or sainfoin seedlings. Alfalfa and sainfoin produced significantly more top plant material from weeks 5 to 10 than did cicer milkvetch. In another experiment, seeds of each species were germinated and the resulting seedlings grown at root-zone temperatures, 7, 13, 18, and 27 C. When grown at four root-zone temperatures, alfalfa and cicer milkvetch developed and grew best at 27 C, whereas sainfoin grew well at 18 C and at 27 C. The slow root development of cicer milkvetch at temperatures of 7–18 C may explain the poor growth under field conditions, where young seedlings may suffer from drought because of a restricted root system.