p-Harmonic Functions on the Semi-Riemannian Lie Groups SU(n) and SU(p,q)
The goal of this thesis is to construct p-harmonic functions on the Lie groups U(n), SU(n), U(p,q) and SU(p,q) equipped with the semi-Riemannian metric g(Z,W) = Re trace ( Z W^t ). To do this we present a method which relies on the notion of eigenfunctions. We define these functions and find examples of them defined on the relevant groups. To our knowledge, these eigenfunctions have not been p
