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We apply the method of eigenfamilies to construct new explicit complex-valuedp-harmonic functions on the non-compact classical Lie groups, equipped withtheir natural semi-Riemannian metrics. We then employ this same approach tomanufacture explicit complex-valued harmonic morphisms on these groups.

Proper p-harmonic functions and harmonic morphisms on the classical non-compact semi-Riemannian Lie groups