### Abstract

In this note we present an irreducible homogeneous non-selfdual open convex cone of arbitrary rank r (r ≥ 3) that is linearly isomorphic to the dual cone.

Original language | English |
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Title of host publication | Infinite Dimensional Harmonic Analysis IV |

Subtitle of host publication | On the Interplay Between Representation Theory, Random Matrices, Special Functions, and Probability |

Publisher | World Scientific Publishing Co. |

Pages | 129-134 |

Number of pages | 6 |

ISBN (Electronic) | 9789812832825 |

ISBN (Print) | 9812832815, 9789812832818 |

DOIs | |

Publication status | Published - 2009 |

### All Science Journal Classification (ASJC) codes

- Mathematics(all)

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## Cite this

Ishi, H., & Nomura, T. (2009). An irreducible homogeneous non-selfdual cone of arbitrary rank linearly isomorphic to the dual cone. In

*Infinite Dimensional Harmonic Analysis IV: On the Interplay Between Representation Theory, Random Matrices, Special Functions, and Probability*(pp. 129-134). World Scientific Publishing Co.. https://doi.org/10.1142/9789812832825_0008