BESSEL MODELS FOR GSp(4)
نویسندگان
چکیده
Methods of theta correspondence are used to analyze local and global Bessel models for GSp4 proving a conjecture of Gross and Prasad which describes these models in terms of local epsilon factors in the local case, and the nonvanishing of central critical L-value in the global case.
منابع مشابه
BESSEL MODELS FOR GSp(4): BACKGROUND AND MOTIVATION
This is an informal companion to our paper Bessel models for GSp(4) written for people new to the subject.
متن کاملM ay 2 00 5 Whittaker and Bessel functors for G S p 4
The theory of Whittaker functors for GLn is an essential technical tools in Gaitsgory’s proof of the Vanishing Conjecture appearing in the geometric Langlands correspondence ([5]). We define Whittaker functors for GSp 4 and study their properties. These functors correspond to the maximal parabolic subgroup of GSp 4 , whose unipotent radical is not commutative. We also study similar functors cor...
متن کاملS ep 2 00 8 Bessel models for lowest weight representations of GSp ( 4 , R )
We prove uniqueness and give precise criteria for existence of split and non-split Bessel models for a class of lowest and highest weight representations of the groups GSp(4,R) and Sp(4,R) including all holomorphic and anti-holomorphic discrete series representations. Explicit formulas for the resulting Bessel functions are obtained by solving systems of differential equations. The formulas are...
متن کاملBessel models for GSp(4): Siegel vectors of square-free level
We determine test vectors and explicit formulas for all Bessel models for those Iwahori-spherical representations of GSp4 over a p-adic field that have non-zero vectors fixed under the Siegel congruence subgroup.
متن کاملSe p 20 09 Steinberg representation of GSp 4 : Bessel models and integral representation of L - functions
Abstract. We obtain explicit formulas for the test vector in the Bessel model and derive the criteria for existence and uniqueness for Bessel models for the unramified, quadratic twists of the Steinberg representation π of GSp 4 (F ), where F is a non-archimedean local field of characteristic zero. We also give precise criteria for the Iwahori spherical vector in π to be a test vector. We apply...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
دوره شماره
صفحات -
تاریخ انتشار 2008