Laws of Trigonometry of SU(3) and SL(3,C)/SU(3)

Abstract

We use a method outlined in the Ph.D. dissertation of H.-L. Huynh to derive laws of trigonometry of SU(3) and SL(3, C)/SU(3). This gives a unified alternative to the earlier results of H. Aslaksen and E. Leuzinger. This method also gives laws of trigonometry for n-tuples