**
Journal of Lie Theory, Vol. 11, No. 1, pp. 155-171 (2001)
**

#
Basic relative invariants associated to homogeneous cones and applications

##
Hideyuki Ishi

Department of Mathematical Sciences

Yokohama City University

Yokohama 236-0027

Japan

hideyuki@math.yokohama-cu.ac.jp

**Abstract:** In this paper, we determine the basic relative invariants on the ambient vector space of a homogeneous cone $\Omega$ under the action of the solvable linear Lie group acting on $\Omega$ simply transitively. The results are applied to a study of the Riesz distributions on $\Omega$ and to an algebraic description of the closure $\overline{\Omega}$ of $\Omega$.

**Full text of the article:**

[Previous Article] [Next Article] [Contents of this Number]

*
© 2001 ELibM for
the EMIS Electronic Edition
*