The p - cones in dimension n ≥ 3 are not homogeneous when p 6 = 2
نویسندگان
چکیده
Using the T -algebra machinery we show that the only strictly convex homogeneous cones in R with n ≥ 3 are the 2-cones, also known as Lorentz cones or second order cones. In particular, this shows that the p-cones are not homogeneous when p 6= 2, 1 < p <∞ and n ≥ 3, thus answering a problem proposed by Gowda and Trott.
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