## On the irreducibility, Lyapunov rank, and automorphisms of speical Bishop-Phelps cones

Motivated by optimization considerations, we consider special Bishop-Phelps cones in R^n which are of the form {(t,x): t \geq ||x||} for some norm on R^(n-1). We show that for n bigger than 2, such cones are always irreducible. Defining the Lyapunov rank of a proper cone K as the dimension of the Lie algebra of … Read more