1Dept. of Mathematical Sciences, Yokohama City University, Yokohama 236-0027, Japan 2We determine the basic relative invariants on the ambient vector space of a homogeneous cone Ω under the action of the solvable linear Lie group acting on Ω simply transitively. The results are applied to a study of the Riesz distributions on Ω and to an algebraic description of the closure C(Ω) of Ω. 3[
Journal of Lie Theory, Tome 11 (2001) no. 1, pp. 155-171
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Hideyuki Ishi. Basic Relative Invariants Associated to Homogeneous Cones and Applications. Journal of Lie Theory, Tome 11 (2001) no. 1, pp. 155-171. http://geodesic.mathdoc.fr/item/JOLT_2001_11_1_a8/
@article{JOLT_2001_11_1_a8,
author = {Hideyuki Ishi},
title = {Basic {Relative} {Invariants} {Associated} to {Homogeneous} {Cones} and {Applications}},
journal = {Journal of Lie Theory},
pages = {155--171},
year = {2001},
volume = {11},
number = {1},
url = {http://geodesic.mathdoc.fr/item/JOLT_2001_11_1_a8/}
}
TY - JOUR
AU - Hideyuki Ishi
TI - Basic Relative Invariants Associated to Homogeneous Cones and Applications
JO - Journal of Lie Theory
PY - 2001
SP - 155
EP - 171
VL - 11
IS - 1
UR - http://geodesic.mathdoc.fr/item/JOLT_2001_11_1_a8/
ID - JOLT_2001_11_1_a8
ER -
%0 Journal Article
%A Hideyuki Ishi
%T Basic Relative Invariants Associated to Homogeneous Cones and Applications
%J Journal of Lie Theory
%D 2001
%P 155-171
%V 11
%N 1
%U http://geodesic.mathdoc.fr/item/JOLT_2001_11_1_a8/
%F JOLT_2001_11_1_a8
We determine the basic relative invariants on the ambient vector space of a homogeneous cone Ω under the action of the solvable linear Lie group acting on Ω simply transitively. The results are applied to a study of the Riesz distributions on Ω and to an algebraic description of the closure C(Ω) of Ω.
