Grobner-Shirshov bases for the exceptional Lie algebras G(2) and F-4,
abstractly defined by generators and the Serre relations for the corre
sponding Cartan matrices over a held of characteristic not equal 2,3,
are constructed. As an application, we obtain for G(2) and F-4 linear
bases of Lyndon-Shirshov words in the generators. The calculation of t
he multiplication tables in terms of the constructed linear bases migh
t be another application. (C) 1998 Elsevier Science B.V. All rights re
served.