Presented by: Sinead Wilson, UQ

Complex reflection groups are finite subgroups of unitary groups which are generated by complex reflections. They are a generalisation of real reflection groups. The invariant theory of irreducible real reflection groups is encoded in the eigenvalues of certain elements, called Coxeter elements, and conversely, Kostant showed (in the case of Weyl groups) that Coxeter elements are characterised by a certain property of their eigenvalues. Kostant's result was refined by Kamgarpour, who gives a more precise relation between the eigenvalues of any element and the stabilisers of the corresponding eigenvectors. In this talk, we discuss a generalisation of Kamgarpour's result to complex reflection groups.

About Pure mathematics seminars

We present regular seminars on a range of pure mathematics interests. Students, staff and visitors to UQ are welcome to attend, and to suggest speakers and topics.

Seminars are held on Tuesdays from 3pm to 3.50pm in Room 67-442 of the Priestley Building (Building 67).

Talks comprise 45 minutes of speaking time plus five minutes for questions and discussion.

Information for speakers

Researchers in all pure mathematics fields attend our seminars, so please aim your presentation at a general mathematical audience.

Room 67-442 has a data projector and a whiteboard.

If you wish to use the data projector, contact us a few days in advance of your talk to avoid technical delays on the day - there's a tight turnaround with room bookings.

Contact us

To arrange to use the projector, contact Benjamin Burton.

To volunteer to talk or to suggest a speaker, email Clement Maria or Huy Nguyen.


Priestley Building (67)