Transfer of Unitary Representations
نویسندگان
چکیده
منابع مشابه
Transfer of Unitary Representations
Introduction. This paper has as its primary purpose a clear exposition of the idea in [21] which we describe as transfer between real forms of a semi-simple Lie group over C. The basic point is that there are representations of one real form that can be more easily understood in the context of another real from. An interesting example is a minimal representation (that is annihilated by the Jose...
متن کاملTransfer of Unitary Representations ∗ Nolan
Introduction. This paper has as its primary purpose a clear exposition of the idea in [21] which we describe as transfer between real forms of a semi-simple Lie group over C. The basic point is that there are representations of one real form that can be more easily understood in the context of another real from. An interesting example is a minimal representation (that is annihilated by the Jose...
متن کاملUnitary Representations of Rational
We begin the study of unitary representations in the lowest weight category of rational Cherednik algebras of complex reflection groups. We provide the complete classification of unitary representations for the symmetric group, the dihedral group, as well as some additional partial results. We also study the unitary representations of Hecke algebras of complex reflection groups and provide a co...
متن کاملIsolated Unitary Representations
In this paper we collect some facts about the topology on the space of irreducible unitary representations of a real reductive group. The main goal is Theorem 10, which asserts that most of the “cohomological” unitary representations for real reductive groups (see [VZ]) are isolated. Many of the intermediate results can be extended to groups over any local field, but we will discuss these gener...
متن کاملUnitary Representations of Brieskorn Spheres
In this article, we commence an investigation of the SU(N) representation space of Seifert bered homology spheres (a 1 ; : : : ; a n): Under mild assumptions (e.g. if N is prime), then Theorem 3.1 implies that any closed connected component of irreducible SU(N) representations of (a 1 ; : : : ; a n) is homeomorphic to a component of SU(N) representations of an associated genus zero Fuchsian gro...
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: Asian Journal of Mathematics
سال: 2004
ISSN: 1093-6106,1945-0036
DOI: 10.4310/ajm.2004.v8.n4.a28