AMS Bookstore LOGO amslogo
Return to List  Item: 1 of 1   
Enright-Shelton Theory and Vogan's Problem for Generalized Principal Series
Brian D. Boe and David H. Collingwood
SEARCH THIS BOOK:

Memoirs of the American Mathematical Society
1993; 107 pp; softcover
Volume: 102
ISBN-10: 0-8218-2547-X
ISBN-13: 978-0-8218-2547-1
List Price: US$36
Individual Members: US$21.60
Institutional Members: US$28.80
Order Code: MEMO/102/486
[Add Item]

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 multiplicity-free (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
Powered by MathJax
Return to List  Item: 1 of 1   

  AMS Home | Comments: webmaster@ams.org
© Copyright 2014, American Mathematical Society
Privacy Statement

AMS Social

AMS and Social Media LinkedIn Facebook Podcasts Twitter YouTube RSS Feeds Blogs Wikipedia