I am an honour student at University of New South
Wales, Australia. This paper was written while I was taking a course in group
representaion. While I was proving the irreducibility of the
standard representation of the symmetric groups, I discoverd a new and interesting identity for derangements and Bell
numbers. After graduation this
year, I plan to pursue a PhD in Pure Mathematics.
Catherine Greenhill, School of Mathematics, University of New South Wales, Sydney, Australia