Dept. Math, Hokkaido Univ. EPrints Server

A CHARACTERIZATION OF SYMMETRIC SIEGEL DOMAINS BY CONVEXITY OF CAYLEY TRANSFORM IMAGES

KAI, CHIFUNE A CHARACTERIZATION OF SYMMETRIC SIEGEL DOMAINS BY CONVEXITY OF CAYLEY TRANSFORM IMAGES. In: 表現論シンポジウム, 2005/11/15-18.

[img]PDF - Requires a PDF viewer such as GSview, Xpdf or Adobe Acrobat Reader
219Kb

November 2005: 表現論シンポジウム

Abstract

We show that a homogeneous Siegel domain is symmetric if and only if its Cayley transform image is convex. Moreover, this convexity forces the parameter of the Cayley transform to be a specific one, so that the Cayley transform coincides with the inverse of the Cayley transform introduced by Kor´anyi and Wolf.

Item Type:Conference or Workshop Item (UNSPECIFIED)
Subjects:16-xx ASSOCIATIVE RINGS AND ALGEBRAS
ID Code:828