The compression semigroup of the dual Vinberg cone

The compression semigroup of the dual Vinberg cone
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双 Vinberg 锥的压缩半群

DOI：
10.1007/978-3-030-78346-4_8
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发表时间：
2021
期刊：
Springer Proceedings in Mathematics and Statistics
影响因子：
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通讯作者：
Hideyuki Ishi and Khalid Koufany
Hideyuki Ishi and Khalid Koufany
中科院分区：
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文献类型：
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作者：
T. Horiuchi;P. Kumlin;D. R. Anderson and M. Onitsuka;Joe Kamimoto;D. R. Anderson and M. Onitsuka;町原　秀二;Hideyuki Ishi and Khalid Koufany

文献摘要

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本文研究了对偶Vinberg锥所对应的半群，证明了它的三重分解和Ol'shanskirk极分解.证明了该半群关于锥上的标准黎曼度量不具有压缩性质。
We investigate the semigroup associated with the dual Vinberg cone and prove its triple and Ol’shanskiĭ polar decompositions. Moreover, we show that the semigroup does not have the contraction property with respect to the canonical Riemannian metric on the cone.