Tempered modules in exotic Deligne–Langlands correspondence
نویسندگان
چکیده
منابع مشابه
Tempered modules in exotic Deligne-Langlands correspondence
The main purpose of this paper is to produce a geometric realization for the tempered modules of the affine Hecke algebra of type C (1) n with arbitrary, non-root of unity, unequal parameters, using the exotic DeligneLanglands correspondence ([Ka08a]). Our classification has several applications to the Weyl group module structure of the tempered Hecke algebra modules. In particular, we provide ...
متن کاملTempered Representations and the Theta Correspondence
Let V be an even dimensional nondegenerate symmetric bilinear space over a nonarchimedean local field F of characteristic zero, and let n be a nonnegative integer. Suppose that σ ∈ Irr(O(V )) and π ∈ Irr(Sp(n, F )) correspond under the theta correspondence. Assuming that σ is tempered, we investigate the problem of determining the Langlands quotient data for π. Let F be a nonarchimedean local f...
متن کاملThe Exotic Robinson–schensted Correspondence
We study the action of the symplectic group on pairs of a vector and a flag. Considering the irreducible components of the conormal variety, we obtain an exotic analogue of the Robinson–Schensted correspondence. Conjecturally, the resulting cells are related to exotic character sheaves.
متن کاملAn exotic Springer correspondence for symplectic groups
Let G be a complex symplectic group. In [K1], we singled out the nilpotent cone N of some reducible G-module, which we call the (1-) exotic nilpotent cone. In this paper, we study the set of G-orbits of the variety N. It turns out that the variety N gives a variant of the Springer correspondence for Weyl groups of type C, but shares a similar flavor with that of type A case. (I.e. there appears...
متن کاملAn exotic Deligne-Langlands correspondence for symplectic groups
Let G = Sp(2n,C) be a complex symplectic group. We introduce a G× (C)-variety Nl, which we call the l-exotic nilpotent cone. Then, we realize the Hecke algebra H of type C (1) n with three parameters via equivariant algebraic K-theory in terms of the geometry of N2. This enables us to establish a Deligne-Langlands type classification of simple H-modules under a mild assumption on parameters. As...
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: Advances in Mathematics
سال: 2011
ISSN: 0001-8708
DOI: 10.1016/j.aim.2010.08.013