Geodesic
Basic Relative Invariants of Homogeneous Cones
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 
@article{JLT_2014_24_4_JLT_2014_24_4_a5,
     author = {H. Nakashima },
     title = {Basic {Relative} {Invariants} of {Homogeneous} {Cones}},
     journal = {Journal of Lie theory},
     pages = {1013--1032},
     publisher = {mathdoc},
     volume = {24},
     number = {4},
     year = {2014},
     url = {http://geodesic.mathdoc.fr/item/JLT_2014_24_4_JLT_2014_24_4_a5/}
}
TY  - JOUR
AU  - H. Nakashima 
TI  - Basic Relative Invariants of Homogeneous Cones
JO  - Journal of Lie theory
PY  - 2014
SP  - 1013
EP  - 1032
VL  - 24
IS  - 4
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/JLT_2014_24_4_JLT_2014_24_4_a5/
ID  - JLT_2014_24_4_JLT_2014_24_4_a5
ER  - 
%0 Journal Article
%A H. Nakashima 
%T Basic Relative Invariants of Homogeneous Cones
%J Journal of Lie theory
%D 2014
%P 1013-1032
%V 24
%N 4
%I mathdoc
%U http://geodesic.mathdoc.fr/item/JLT_2014_24_4_JLT_2014_24_4_a5/
%F JLT_2014_24_4_JLT_2014_24_4_a5
H. Nakashima . Basic Relative Invariants of Homogeneous Cones. Journal of Lie theory, Tome 24 (2014) no. 4, pp. 1013-1032. http://geodesic.mathdoc.fr/item/JLT_2014_24_4_JLT_2014_24_4_a5/