The characters of the holomorphic discrete series.
نویسنده
چکیده
This paper summarizes the derivation of an explicit and global formula for the character of any holomorphic discrete series representation of a reductive Lie group G which satisfies certain conditions. The only very restrictive condition is that G/K be a Hermitian symmetric space. (Here K is the maximal compact subgroup of G.).
منابع مشابه
Representation of Gender Roles in Child and Young Characters in Game of Thrones Series
he purpose of this study is to demonstrate how we, especially children and adolescents, are influenced by the media; this issue had investigated by analyzing the representation of gender roles in the Game of Thrones Series. There were based on three social learning, socialization and cultivation theories. This research had done a quantitative content analysis. The variables included 20 gender a...
متن کاملInstitute for Mathematical Physics Nearly Holomorphic Functions and Relative Discrete Series of Weighted L 2 -spaces on Bounded Symmetric Domains Nearly Holomorphic Functions and Relative Discrete Series of Weighted L 2 -spaces on Bounded Symmetric Domains
Let = G=K be a bounded symmetric domain in a complex vector space V with the Lebesgue measure dm(z) and the Bergman reproducing kernel h(z; w) ?p. Let dd (z) = h(z; z) dm(z), > ?1, be the weighted measure on. The group G acts unitarily on the space L 2 ((;) via change of variables together with a multiplier. We consider the discrete parts, also called the relative discrete series, in the irredu...
متن کاملA special subspace of weighted spaces of holomorphic functions on the upper half plane
In this paper, we intend to define and study concepts of weight and weighted spaces of holomorphic (analytic) functions on the upper half plane. We study two special classes of these spaces of holomorphic functions on the upper half plane. Firstly, we prove these spaces of holomorphic functions on the upper half plane endowed with weighted norm supremum are Banach spaces. Then, we investigate t...
متن کاملAdmissible Restriction of Holomorphic Discrete Series for Exceptional Groups
In this note, we give results about the restriction of a holomorphic discrete series of an exceptional simple Lie real group to a subgroup.
متن کاملMultiplying Modular Forms
The space of elliptic modular forms of fixed weight and level can be identified with a space of intertwining operators, from a holomorphic discrete series representation of SL2(R) to a space of automorphic forms. Moreover, multiplying elliptic modular forms corresponds to a branching problem involving tensor products of holomorphic discrete series representations. In this paper, we explicitly c...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید
ثبت ناماگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید
ورودعنوان ژورنال:
- Proceedings of the National Academy of Sciences of the United States of America
دوره 72 9 شماره
صفحات -
تاریخ انتشار 1975