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Order antimorphisms of finite-dimensional cones
Selecta Mathematica ( IF 1.2 ) Pub Date : 2020-07-20 , DOI: 10.1007/s00029-020-00583-5 Cormac Walsh
Selecta Mathematica ( IF 1.2 ) Pub Date : 2020-07-20 , DOI: 10.1007/s00029-020-00583-5 Cormac Walsh
We show that an order antimorphism on a finite-dimensional cone having no one-dimensional factors is homogeneous of degree \(-\,1\). A consequence is that the only finite-dimensional cones admitting an order antimorphism are the symmetric cones.
中文翻译:
有限维锥的阶反态
我们表明,在没有一维因素的有限维圆锥上的阶反同构是度\(-\,1 \)的齐次。结果是,允许阶次同态性的唯一有限维圆锥是对称圆锥。
更新日期:2020-07-20
中文翻译:
有限维锥的阶反态
我们表明,在没有一维因素的有限维圆锥上的阶反同构是度\(-\,1 \)的齐次。结果是,允许阶次同态性的唯一有限维圆锥是对称圆锥。