Presented by: 
A/Professor Anthony Henderson (Sydney)
Date: 
Mon 30 May, 2:00 pm - 3:00 pm
Venue: 
N202 in Hawken (50)

In undergraduate linear algebra, we teach the Jordan canonical form theorem: that every similarity class of n x n complex matrices contains a special matrix which is block-diagonal with each block having a very simple form (a single eigenvalue repeated down the diagonal, ones on the super-diagonal, and zeroes elsewhere). This is of course very useful for matrix calculations.

After explaining some of the general Lie-theoretic context of this result, I will focus on a case which, despite its close proximity to the Jordan canonical form theorem, has only recently been worked out: the classification of pairs of a vector and a matrix.