Memoirs of the American Mathematical Society 1993; 107 pp; softcover Volume: 102 ISBN10: 082182547X ISBN13: 9780821825471 List Price: US$36 Individual Members: US$21.60 Institutional Members: US$28.80 Order Code: MEMO/102/486
 This book investigates the composition series of generalized principal series representations induced from a maximal cuspidal parabolic subgroup of a real reductive Lie group. Boe and Collingwood study when such representations are multiplicityfree (Vogan's Problem #3) and the problem of describing their composition factors in closed form. The results obtained are strikingly similar to those of Enright and Shelton for highest weight modules. Connections with two different flag variety decompositions are discussed. Readership Advanced graduate students and researchers in the representation theory of Lie groups. Table of Contents  Notation and preliminaries
 Some \(Sp_n\mathbb R\) results
 Inducing from holomorphic discrete series
 The \(SO_e(2,N)\) cases
 The \(SU(p,q)\) case
 The exceptional cases
 Loewy length estimates
 Appendix: Exceptional data
