摘要
LET G be a connected linear simple Lie group. Knapp and Speht showed that if P=MAN is a cuspidal parabolic subgroup of G, then there exists a unique basic case of M. The relations between the basic case of M and the unitary representations of G have also been discussed in ref. [1]. In ref. [2], Knapp gave a method for computing the basic case of M if M is a Levi factor of a maximal parabolic subgroup P=MAN of G when G is not the split G<sub>2</sub>. An expression of the basic case of M mentioned above has been given in ref. [2]. Boldoni-Silva and Knapp used this expression of the basic case of M to determine when the Langlands quotients J （MAN, σ, ν） are infinitesimally unitary under the conditions that P=MAN is maximal （i. e. dimA=1）, and that G is neither split F<sub>4</sub> nor split G2. The result given in ref. [3] is important in the classification of the irreducible unitary representations of connected linear semisimple Lie groups.
