ABSTRACT
Let G be a simple algebraic group over an algebraically closed field k, where char k is either 0 or a good prime for G. We consider the modality of the action of a Borel subgroup B of G on the Lie algebra
of the unipotent radical of B, and report on computer calculations used to show that
, when G is of type E8. This completes the determination of the values for
for G of exceptional type.
MATHEMATICS SUBJECT CLASSIFICATION: