Enright-Shelton Theory and Vogan's Problem for Generalized Principal Series |
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| Series title: | Memoirs of the American Mathematical Society Ser. |
| ISBN: | 978-0-8218-2547-1 |
| Publication Date: | Mar 1993 |
| Publisher: | American Mathematical Society
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| Book Format: | Paperback |
| List Price: | USD $41.00USD $41.00 |
Book Description:
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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...
More DescriptionThis 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.