
Journal of Lie Theory 11 (2001), No. 2, 469481 Copyright Heldermann Verlag 2001 Brownian Motion and the Heat Kernels of Iwasawa NAType Groups M. J. Cornwall 1 Martin Place, Sydney N.S.W. 2000, Australia Let G be a semisimple Lie group with a finite centre and Iwasawa decomposition NAK. We shall consider the heat equation on NA and prove a structure theorem for a diffusion on the group which is typically called a Brownian motion. This theorem then shows how we may calculate the heat kernel of real hyperbolic space in a relatively easy fashion. [ Fulltextpdf (213 KB)] 