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デジタル記事
中島, 秀斗Faculty of Mathematics, Kyushu University2018-02-02Kyushu Journal of Mathematics71 2p.251-255
全国の図書館
  • 件名homogeneous cones symmetric cones basic relative invariants
デジタル記事
2017九州数学雑誌71 2p.251-255
インターネットで読める全国の図書館
  • 要約等<p>The aim of this paper is to give a shorter proof to the main theorem of Yamasaki-Nomura in 2016, stating that a homogeneous cone of rank <i>r </i>is an irreducible symmetric cone if and only if the basic relative invariants of the cone and of the dual cone both have the degrees 1<i>, </i>2<i>......>, up to permutations. Our proof is based on the multiplier matrix of homogeneous cones studied in detail by the present author.</p>
  • 件名homogeneous cones symmetric cones basic relative invariants
  • 参照Characterizations of symmetric cones by means of the basic relative invariants of homogeneous cones Positive Riesz......on homogeneous cones REALIZATION OF HOMOGENEOUS CONES THROUGH ORIENTED GRAPHS A CHARACTERIZATION OF SYMMETRIC CONES BY THE DEGREES OF BASIC RELATIVE INVARIANTS

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