Clifford and Mackey theory for Weil representations of symplectic groups

نویسندگان
چکیده

برای دانلود باید عضویت طلایی داشته باشید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Mackey Theory for p-adic Lie groups

This paper gives a p-adic analogue of the Mackey theory, which relates representations of a group of type G = H×tA to systems of imprimitivity.

متن کامل

A Mackey Imprimitivity Theory for Algebraic Groups *

Let G be an affine algebraic group over an algebraically closed field k and let H be a closed subgroup of G. If V is a rational H-module (a comodule for the coordinate ring of H) there is a now well-known notion of an induced module VI G for G, defined as the space Morph/~(G, V) of all H-equivariant morphisms from G to a finite dimensional subspace of V, with obvious G-action. The question aris...

متن کامل

Eigendistributions for Orthogonal Groups and Representations of Symplectic Groups

We consider the action of H = O(p, q) on the matrix space Mp+q,n(R). We study a certain orbit O of H in the null cone N ⊆ Mp+q,n(R) which supports an eigendistribution dνO for H . Using some identities of Capelli type developed in the Appendix, we determine the structure of G̃ = Sp(2n,R)∼-cyclic module generated by dνO under the oscillator representation of G̃ (the metaplectic cover of G = Sp(2n(...

متن کامل

C * - algebras and Mackey ' s theory of group representations

The subjects of C*-algebras and of unitary representations of locally compact groups are both approximately 50 years old. While it was known from the start that these subjects are related, it was noL originally appreciated just how close the relationship is, especially in the case of Mackey's theory of induced representations and of representations of group extensions. U G is a (locally compact...

متن کامل

On Holomorphic Representations of Symplectic Groups

In this paper we shall give a simple and concrete realization of a set of representatives of all irreducible holomorphic representations of G. This realization, which involves the G-module structure of a symmetric algebra of polynomial functions is inspired by the work of B. Kostant [1] and follows the general scheme formulated in [2]. Detailed proofs will appear elsewhere. 1. The symmetric alg...

متن کامل

ذخیره 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 Algebra

سال: 2003

ISSN: 0021-8693

DOI: 10.1016/s0021-8693(03)00068-1