Kazhdan–Lusztig representations and Whittaker space of some genuine representations
نویسندگان
چکیده
منابع مشابه
compactifications and representations of transformation semigroups
this thesis deals essentially (but not from all aspects) with the extension of the notion of semigroup compactification and the construction of a general theory of semitopological nonaffine (affine) transformation semigroup compactifications. it determines those compactification which are universal with respect to some algebric or topological properties. as an application of the theory, it is i...
15 صفحه اولThe Representations and Positive Type Functions of Some Homogenous Spaces
‎For a homogeneous spaces ‎$‎G/H‎$‎, we show that the convolution on $L^1(G/H)$ is the same as convolution on $L^1(K)$, where $G$ is semidirect product of a closed subgroup $H$ and a normal subgroup $K $ of ‎$‎G‎$‎. ‎Also we prove that there exists a one to one correspondence between nondegenerat $ast$-representations of $L^1(G/H)$ and representations of ...
متن کاملWhittaker Supports for Representations of Reductive Groups
Let F be either R or a finite extension of Qp, and let G be a finite central extension of the group of F -points of a reductive group defined over F . Also let π be a smooth representation of G (Fréchet of moderate growth if F = R). For each nilpotent orbit O we consider a certain Whittaker quotient πO of π. We define the Whittaker support WS(π) to be the set of maximal O among those for which ...
متن کاملThe Whittaker Models of Induced Representations
If F is a local non-Archimedean field, then every irreducible admissible representation π of GL(r, F) is a quotient of a representation ξ induced by tempered ones. We show that £ has a Whittaker model, even though it may fail to be irreducible.
متن کاملANNIHILATOR VARIETIES, ADDUCED REPRESENTATIONS, WHITTAKER FUNCTIONALS, AND RANK FOR UNITARY REPRESENTATIONS OF GL(n)
In this paper, we study irreducible unitary representations of GLn(R) and prove a number of results. Our first result establishes a precise connection between the annihilator of a representation and the existence of degenerate Whittaker functionals, thereby generalizing results of Kostant, Matumoto and others. Our second result relates the annihilator to the sequence of adduced representations,...
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: Mathematische Annalen
سال: 2019
ISSN: 0025-5831,1432-1807
DOI: 10.1007/s00208-019-01925-1