Type: Seminar

Distribution: World

Expiry: 24 Nov 2006

CalTitle1: Algebra Seminar: Formanek -- Braid group representations of low degree

Auth: anthonyh@asti.maths.usyd.edu.au

Let G be a finitely generated group. For a fixed integer n,
the equivalence classes of irreducible representations
G -> GL(n,C) form an algebraic variety. There are
only a few groups for which this variety is well understood. These
include finite groups, abelian groups, abelian-by-finite groups and
certain arithmetic groups, such as SL(n,Z) (n at least 3).
Although classifying the irreducible representations for a general
group is probably hopeless, the braid group B_{n} seems
more tractable because its presentation is short and simple.
The combined work of E. Formanek, W. Lee, I. Sysoeva and
M. Vazirani has classified the irreducible complex representations
of B After the seminar we will take the speaker to lunch. See the Algebra Seminar web page for information about other seminars in the series. Anthony Henderson anthonyh@maths.usyd.edu.au. |