A SHORTER PROOF OF A CHARACTERIZATION OF SYMMETRIC CONES BY THE DEGREES OF THE BASIC RELATIVE INVARIANTS

DOI10.2206/KYUSHUJM.71.251zbMath1390.22022OpenAlexW2787470040MaRDI QIDQ4642747

Hideto Nakashima

Publication date: 25 May 2018

Published in: Kyushu Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2206/kyushujm.71.251

zbMATH Keywords

symmetric conesbasic relative invariantshomogeneous cones

Mathematics Subject Classification ID

Homogeneous spaces (22F30) Differential geometry of symmetric spaces (53C35) Prehomogeneous vector spaces (11S90)

Cites Work

• Characterizations of symmetric cones by means of the basic relative invariants of homogeneous cones
• Basic relative invariants of homogeneous cones and their Laplace transforms
• Positive Riesz distributions on homogeneous cones
• A CHARACTERIZATION OF SYMMETRIC CONES BY THE DEGREES OF BASIC RELATIVE INVARIANTS
• REALIZATION OF HOMOGENEOUS CONES THROUGH ORIENTED GRAPHS
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