Journal of Lie Theory

no. 4
Basic Relative Invariants of Homogeneous Cones
Journal of Lie Theory, Volume 24 (2014) no. 4, pp. 1013-1032
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.
DOI: 10.5802/jolt.817
Classification: 17D99, 43A85, 22E25, 11S90
Keywords: Basic relative invariants, homogeneous cones, clans 
@article{JOLT_2014_24_4_a5,
     author = {H. Nakashima},
     title = {Basic {Relative} {Invariants} of {Homogeneous} {Cones}},
     journal = {Journal of Lie Theory},
     pages = {1013--1032},
     year = {2014},
     volume = {24},
     number = {4},
     doi = {10.5802/jolt.817},
     zbl = {1356.17027},
     url = {https://jolt.centre-mersenne.org/articles/10.5802/jolt.817/}
}
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
UR  - https://jolt.centre-mersenne.org/articles/10.5802/jolt.817/
DO  - 10.5802/jolt.817
ID  - JOLT_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
%U https://jolt.centre-mersenne.org/articles/10.5802/jolt.817/
%R 10.5802/jolt.817
%F JOLT_2014_24_4_a5
H. Nakashima. Basic Relative Invariants of Homogeneous Cones. Journal of Lie Theory, Volume 24 (2014) no. 4, pp. 1013-1032. doi: 10.5802/jolt.817

Cited by Sources: