A new proof of the hook formulaAlgebra & Discrete Mathematics
|Jason Bandlow, UCSD
|Thu, Feb 1 2007, 3:10PM
The hook-length formula is a well known result expressing the number of standard tableaux of shape $\lambda$ in terms of the lengths of the hooks in the diagram of $\lambda$. Many proofs of this fact have been given, of varying complexity. I'll give a new and simple proof which uses only some power series and partial fractions expansions. Other versions of the hook formula will also be discussed.