On infinitesimal automorphisms and homogeneous Siegel domains over circular cones

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

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

On Planar Webs with Infinitesimal Automorphisms

We investigate the space of abelian relations of planar webs admitting infinitesimal automorphisms. As an application we construct 4k − 14 new algebraic families of global exceptional k-webs on the projective plane, for each k ≥ 5.

متن کامل

Homogeneous Functions on Light Cones: the Infinitesimal Structure of Some Degenerate Principal Series Representations

One of the classic and most pleasing calculations in the representation theory of semisimple Lie groups is Bargmann’s [Ba] (see also [Na]) description of the structure of representations of SL(2,R). Bargmann constructs a basis of eigenvectors for the compact subgroup SO(2) ⊆ SL(2,R) and then explicitly describes the action of the Lie algebra of SL(2,R) on this basis. From the straightforward an...

متن کامل

Infinitesimal Automorphisms and Deformations of Parabolic Geometries

We show that infinitesimal automorphisms and infinitesimal deformations of parabolic geometries can be nicely described in terms of the twisted de–Rham sequence associated to a certain linear connection on the adjoint tractor bundle. For regular normal geometries, this description can be related to the underlying geometric structure using the machinery of BGG sequences. In the locally flat case...

متن کامل

Essential Parabolic Structures and Their Infinitesimal Automorphisms

Using the theory of Weyl structures, we give a natural generalization of the notion of essential conformal structures and conformal Killing fields to arbitrary parabolic geometries. We show that a parabolic structure is inessential whenever the automorphism group acts properly on the base space. As a corollary of the generalized Ferrand–Obata theorem proved by C. Frances, this proves a generali...

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: Proceedings of the Japan Academy, Series A, Mathematical Sciences

سال: 1973

ISSN: 0386-2194

DOI: 10.3792/pja/1195519289