The $p$-cones in dimension $n\ge 3$ are not homogeneous when $p\ne 2$

Masaru Ito, Bruno F. Lourenço

Using the T-algebra machinery we show that, up to linear isomorphism, the only strictly convex homogeneous cones in ${\Re }^n$ with $n\ge 3$ are the 2-cones, also known as Lorentz c…