Degenerate Principal Series Representations of U(p,q) and Spin0(p,q)
โ Scribed by Soo Teck Lee; Hung Yean Loke
- Book ID
- 110348764
- Publisher
- Cambridge University Press
- Year
- 2002
- Tongue
- English
- Weight
- 349 KB
- Volume
- 132
- Category
- Article
- ISSN
- 0010-437X
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
We explicitly determine the theta lifts of all one-dimensional representations of Uรฐp; qร in terms of Langlands parameters, and determine exactly which lifts are unitary. Moreover, we show that such a lift is unitary if and only if it is a weakly fair derived functor module of the form A q รฐlร: Fina
In this paper we obtain examples of dual pairs in the group Pin V m W by ลฝ . ลฝ . considering the inverse images of the subgroups O V m Id and Id m O W W V ลฝ . ลฝ . under the double covering map : Pin V m W ยช O V m W . The main technical results are the definition of the group of determinant graded do