Admissible Square Quadruplets and Semisimple Symmetric Spaces

نویسندگان

چکیده

برای دانلود رایگان 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

Fourier Analysis on Semisimple Symmetric Spaces

A homogeneous space X = G/H of a connected Lie group G is called a symmetric homogeneous space if there exists an involution σ of G such that H lies between the fixed point group G and its identity component Go . Example 0. For a connected Lie group G′, put G = G′×G′, σ(g1, g2) ) = (g2, g1) and H = G. Then the homogeneous space X = G/H is naturally isomorphic to G′ by the map (g1, g2) 7→ g1g−1 ...

متن کامل

The C-function for a Semisimple Symmetric Space 1 Spherical Functions for Riemannian Symmetric Spaces

We discuss the product formula for the c-function for a Riemannian symmetric space and the similar formula for a noncompactly causal symmetric space. We derive two functional equations between the c-functions using the product formulas. Finally some examples where the c-functions turn up in analysis on symmetric spaces are given. Let G be a connected semisimple Lie group with nite center. Let K...

متن کامل

SQUARE INTEGRABILITY OF REPRESENTATIONS ON p-ADIC SYMMETRIC SPACES

A symmetric space analogue of Casselman’s criterion for square integrability of representations of a p-adic group is established. It is described in terms of exponents of Jacquet modules along parabolic subgroups associated to the symmetric space.

متن کامل

Algebraic Groups with a Commuting Pair of Involutions and Semisimple Symmetric Spaces

Let G be a connected reductive algebraic group defined over an algebraically closed field F of characteristic not 2. Denote the Lie algebra of G by 9. In this paper we shall classify the isomorphism classes of ordered pairs of commuting involutorial automorphisms of G. This is shown to be independent of the characteristic of F and can be applied to describe all semisimple locally symmetric spac...

متن کامل

Generalized Symmetric Berwald Spaces

In this paper we study generalized symmetric Berwald spaces. We show that if a Berwald space $(M,F)$ admits a parallel $s-$structure then it is locally symmetric. For a complete Berwald space which admits a parallel s-structure we show that if the flag curvature of $(M,F)$ is everywhere nonzero, then $F$ is Riemannian.

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: Advances in Mathematics

سال: 2002

ISSN: 0001-8708

DOI: 10.1006/aima.2001.2024