The isotropy representation for homogeneous Siegel domains

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

Determinant Type Differential Operators on Homogeneous Siegel Domains

In harmonic analysis on classical domains of matrices, the differential operator whose symbol is the determinant polynomial plays important roles. Particularly, the operator is substantial in study of invariant Hilbert spaces of holomorphic functions on the domain [1, 2, 7, 14, 15, 21]. Considering the Siegel domain realization of a certain symmetric domain with Fourier-analytic methods, Jakobs...

متن کامل

The Geometry of Compact Homogeneous Spaces with Two Isotropy Summands

We give a complete list of all homogeneous spaces M = G/H where G is a simple compact Lie group, H a connected, closed subgroup, and G/H is simply connected, for which the isotropy representation of H on TpM decomposes into exactly two irreducible summands. For each homogeneous space, we determine whether it admits a G-invariant Einstein metric. When there is an intermediate subgroup H < K < G,...

متن کامل

Quasiconformally Homogeneous Planar Domains

In this paper we explore the ambient quasiconformal homogeneity of planar domains and their boundaries. We show that the quasiconformal homogeneity of a domain D and its boundary E implies that the pair (D,E) is in fact quasiconformally bi-homogeneous. We also give a geometric and topological characterization of the quasiconformal homogeneity of D or E under the assumption that E is a Cantor se...

متن کامل

Tangential Convergence of Bounded Harmonic Functions on Generalized Siegel Domains

Suppose u(x, y) is a bounded harmonic function on the upper half plane such that lim x→∞ u(x, yo) = a for some yo > 0. Then one can prove that lim x→∞ u(x, y) = a for any other positive y. In this paper, we shall consider the algebra of radial integrable functions on the H-type groups and obtain a similar result for the bounded harmonic functions on generalized Siegel domain.

متن کامل

Knowledge Representation as Domains

This is a continuing attempt in a series of papers KM 93, Mur 93, Mur 94] to show how computer-represented knowledge can be arranged as elements of an eeectively represented semantic domain in the sense of GS 90]. We present a direct deductive description of the domain, which was deened semantically in KM 93], via the Scott's notion of information system. Also, the internal structure of the con...

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: Pacific Journal of Mathematics

سال: 1985

ISSN: 0030-8730,0030-8730

DOI: 10.2140/pjm.1985.120.295