University of Sydney

    School of Mathematics and Statistics

    Algebra Seminar

    Don Taylor
    University of Sydney

    Standard modules for Lie algebras and Chevalley groups.

    Friday 16th October, 12-1pm, 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 (well-known) algebras on which the groups act.