[KSCI] Korea Science Citation Index Service

http://dx.doi.org/10.4134/JKMS.2006.43.6.1301

NONDEGENERATE AFFINE HOMOGENEOUS DOMAIN OVER A GRAPH

Choi, Yun-Cherl (Division of General Education-Mathematics Kwangwoon University)

Publication Information

Journal of the Korean Mathematical Society / v.43, no.6, 2006 , pp. 1301-1324 More about this Journal

Abstract

The affine homogeneous hypersurface in ${\mathbb{R}}^{n+1}$ , which is a graph of a function $F:{\mathbb{R}}^n{\rightarrow}{\mathbb{R}}$ with |det DdF|=1, corresponds to a complete unimodular left symmetric algebra with a nondegenerate Hessian type inner product. We will investigate the condition for the domain over the homogeneous hypersurface to be homogeneous through an extension of the complete unimodular left symmetric algebra, which is called the graph extension.

Keywords

affine homogeneous domain; graph extension; left symmetric algebra; Hessian structure;

Citations & Related Records

Times Cited By Web Of Science : 0 (Related Records In Web of Science)
Times Cited By SCOPUS : 1

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