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 usually held on Tuesdays from 3pm to 3.50pm.

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.

Contact us

To volunteer to talk or to suggest a speaker, email Ole Warnaar or Ramiro Lafuente.

Venue

Priestley Building (67)
Room: 
442