Enright-Shelton Theory and Vogan's Problem for Generalized Principal Series
Brian D. Boe, David H. Collingwood
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.
种类:
年:
1993
出版社:
Amer Mathematical Society
语言:
english
页:
107
ISBN 10:
082182547X
ISBN 13:
9780821825471
系列:
Memoirs of the American Mathematical Society
文件:
PDF, 12.32 MB
IPFS:
,
english, 1993