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Enright-Shelton Theory and Vogan's Problem for Generalized Principal Series
Brian D. Boe
David H. Collingwood
出版
American Mathematical Soc.
, 1993
主題
Mathematics / General
Mathematics / Group Theory
ISBN
082182547X
9780821825471
URL
http://books.google.com.hk/books?id=lHvUCQAAQBAJ&hl=&source=gbs_api
EBook
SAMPLE
註釋
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.