
Bob Howlett
University of Sydney
Coxeter groups and invariant cones
Friday 26th September, 12:0512:55pm,
Carslaw 373.
Every Coxeter group W has at least one faithful
representation as a group generated by reflections
acting on a real vector space V. If W is finite then
the hyperplanes corresponding to the reflections in W
cut V into regions (known as chambers) that are in
bijective correspondence with the elements of W. If W is
infinite the union of the chambers corresponding to
elements of W is not the whole of V but a certain
convex subset, known as the Tits cone. In this talk
I will describe what I know about the Tits cone, in
the hope that someone in the audience will be able
to help me understand it more fully.







