Type: Seminar

Distribution: World

Expiry: 24 May 2007

Auth: ( REFUSED )@galois.maths.usyd.edu.au

Speaker: Don Taylor (Sydney) Title: Lie algebras from finite groups Time & Place: 3:05pm-4pm, Thursday 24 May, Carslaw 535 Abstract: Some years ago Wilhelm Plesken mentioned to Arjeh Cohen that if G is a group, the elements g - g^-1 span a Lie subalgebra of the group algebra of G. In this talk I shall describe the structure of this algebra when G is a finite group and the group algebra is over the complex numbers. In particular, I will determine for which groups the construction produces a (semi)simple Lie algebra. This will be a general talk and little knowledge of the theory of Lie algebras is required beyond the definition of a Lie algebra itself and the definitions of simple and semisimple Lie algebras.