
School of Mathematics and Statistics
Don Taylor
University of Sydney
Standard modules for Lie algebras and Chevalley groups.
Friday 16th October, 121pm, Carslaw 273.
Given a simple complex Lie algebra L we give a direct
construction for the fundamental representation of smallest degree. For
types A, B, C and D this provides a
uniform means of identifying
the Chevalley groups of L with the corresponding classical groups.
For types F and G it leads to the construction of the
(wellknown) algebras on which the groups act.
