ELA, Volume 5, pp. 1-10, January 1999, abstract.

An extension of a result of Lewis

Tin-Yau Tam


A result of Lewis on the extreme properties of the inner product of 
two vectors in a Cartan subspace of a semisimple Lie algebra is 
extended. The framework used is an Eaton triple which has a reduced 
triple.  Applications are made for determining the minimizers and 
maximizers of the distance function considered by Chu and Driessel 
with spectral constraint.