Geodesic
Basic Relative Invariants of Homogeneous Cones
Hideto Nakashima1
1Graduate School of Mathematics, Kyushu University, Fukuoka 819-0735, Japan
Journal of Lie Theory, Tome 24 (2014) no. 4, pp. 1013-1032

Voir la notice de l'article provenant de la source Heldermann Verlag

The purpose of this paper is to give an explicit expression to the basic relative invariants of a homogeneous cone in terms of the polynomials introduced by Vinberg in 1963. We present a closed formula that exhibits how we obtain the basic relative invariants at one time. We also factorize the determinant of the right multiplication operators of the corresponding clan V by giving an explicit expression to the exponents of the basic relative invariants in terms of the data of V.
Classification : 17D99, 43A85, 22E25, 11S90
Mots-clés : Basic relative invariants, homogeneous cones, clans

Hideto Nakashima  1

1 Graduate School of Mathematics, Kyushu University, Fukuoka 819-0735, Japan 
Hideto Nakashima. Basic Relative Invariants of Homogeneous Cones. Journal of Lie Theory, Tome 24 (2014) no. 4, pp. 1013-1032. http://geodesic.mathdoc.fr/item/JOLT_2014_24_4_a5/
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     author = {Hideto Nakashima},
     title = {Basic {Relative} {Invariants} of {Homogeneous} {Cones}},
     journal = {Journal of Lie Theory},
     pages = {1013--1032},
     year = {2014},
     volume = {24},
     number = {4},
     url = {http://geodesic.mathdoc.fr/item/JOLT_2014_24_4_a5/}
}
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