Abstract
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.
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Walsh, C. Order antimorphisms of finite-dimensional cones. Sel. Math. New Ser. 26, 53 (2020). https://doi.org/10.1007/s00029-020-00583-5
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DOI: https://doi.org/10.1007/s00029-020-00583-5