TY - JOUR
T1 - A characterization of symmetric cones by the degrees of basic relative invariants
AU - Yamasaki, Takashi
AU - Nomura, Takaaki
N1 - Funding Information:
The second author was supported by JSPS KAKENHI grant number 15K04901.
Publisher Copyright:
© 2016 Faculty of Mathematics, Kyushu University.
PY - 2016
Y1 - 2016
N2 - In this paper, we characterize irreducible symmetric cones among homogeneous cones Ω of rank r by the fact that the basic relative invariants for Ω and for Ω ∗ (the dual cone of Ω) both have the degrees 1, 2, ⋯, r, up to permutations.
AB - In this paper, we characterize irreducible symmetric cones among homogeneous cones Ω of rank r by the fact that the basic relative invariants for Ω and for Ω ∗ (the dual cone of Ω) both have the degrees 1, 2, ⋯, r, up to permutations.
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U2 - 10.2206/kyushujm.70.237
DO - 10.2206/kyushujm.70.237
M3 - Article
AN - SCOPUS:84991509143
SN - 1340-6116
VL - 70
SP - 237
EP - 257
JO - Kyushu Journal of Mathematics
JF - Kyushu Journal of Mathematics
IS - 2
ER -