A characterization of symmetric cones by the degrees of basic relative invariants

Takashi Yamasaki, Takaaki Nomura

Research output: Contribution to journalArticle

1 Citation (Scopus)

Abstract

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.

Original languageEnglish
Pages (from-to)237-257
Number of pages21
JournalKyushu Journal of Mathematics
Volume70
Issue number2
DOIs
Publication statusPublished - Jan 1 2016

All Science Journal Classification (ASJC) codes

  • Mathematics(all)

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