Journal of Lie Theory

no. 1
Basic Relative Invariants Associated to Homogeneous Cones and Applications
Journal of Lie Theory, Volume 11 (2001) no. 1, pp. 155-171
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.
DOI: 10.5802/jolt.227
Classification: 43A85
Keywords: homogeneous cone, solvable Lie group, Riesz distribution, Laplace transform, real positive definite symmetric matrices, Vinberg cone 
@article{JOLT_2001_11_1_a8,
     author = {H. 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},
     doi = {10.5802/jolt.227},
     zbl = {0976.43005},
     url = {https://jolt.centre-mersenne.org/articles/10.5802/jolt.227/}
}
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H. Ishi. Basic Relative Invariants Associated to Homogeneous Cones and Applications. Journal of Lie Theory, Volume 11 (2001) no. 1, pp. 155-171. doi: 10.5802/jolt.227

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