School of Mathematical Sciences

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Classifying unitary matrices

John Parker (Durham)
Mon, 04/03/2013 - 16:30
Seminar series: 

It is well known that matrices that are unitary with respect to a positive definite Hermitian form are all diagonalisable and have unit modulus eigenvalues. If the Hermitian form is indefinite then neither of these properties hold. In this talk I will show how to get around this. I will give geometrical applications to the isometries of real and complex hyperbolic space as well as anti de Sitter space.

Speaker's webpage