<紀要論文>
A SHORTER PROOF OF A CHARACTERIZATION OF SYMMETRIC CONES BY THE DEGREES OF THE BASIC RELATIVE INVARIANTS
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概要 | The aim of this paper is to give a shorter proof to the main theorem od Yamasaki-Nomura in 2016, stating that a homogeneous come of rank r is an irreducible symmetric cone if and only if the basic rel...ative invariants of the cone and the dual cone both have the degrees 1,2, …, r, up to permutations. Our proof is based on the multiplier matrix of homogeneous cones studied in detail by the present author.続きを見る |
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登録日 | 2018.06.27 |
更新日 | 2019.07.02 |