Clifford theory of Weil representations of unitary groups
نویسندگان
چکیده
منابع مشابه
Unitary representations of topological groups
One purpose is to isolate techniques and results in representation theory which do not depend upon additional structure of the groups. Much can be done in the representation theory of compact groups without anything more than the compactness. Similarly, the discrete decomposition of L(Γ\G) for compact quotients Γ\G depends upon nothing more than compactness. Schur orthogonality and inner produc...
متن کاملFactorization of unitary representations of adele groups
One disclaimer is necessary: while in principle this factorization result makes it clear that representation theory is relevant to study of automorphic forms and L-functions, in practice there are other things necessary. In effect, one needs to know that the representation theory of reductive linear p-adic groups is tractable, so that conversion of other issues into representation theory is a c...
متن کاملUnitary Representations of Nilpotent Super Lie Groups
We prove that irreducible unitary representations of nilpotent super Lie groups can be obtained by induction from a distinguished class of sub super Lie groups which are natural generalizations of polarizing subgroups that appear in classical Kirillov theory. We prove that this kind of induction always yields irreducible unitary representations. We also prove a uniqueness result for the inducin...
متن کاملUnitary representations of real reductive groups
— We present an algorithm for computing the irreducible unitary representations of a real reductive group G. The Langlands classification, as formulated by Knapp and Zuckerman, exhibits any representation with an invariant Hermitian form as a deformation of a unitary representation from the Plancherel formula. The behavior of these deformations was in part determined in the Kazhdan-Lusztig anal...
متن کاملUnitary representations of reductive Lie groups
One of the fundamental problems of abstract harmonic analysis is the determination of the irreducible unitary representations of simple Lie groups. After recalling why this problem is of interest, we discuss the present state of knowledge about it. In the language of Kirillov and Kostant, the problem nally is to \quantize" nilpotent coadjoint orbits.
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Journal of Group Theory
سال: 2019
ISSN: 1435-4446,1433-5883
DOI: 10.1515/jgth-2018-0151