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A new proof of the hook formulaAlgebra & Discrete Mathematics
|Speaker: ||Jason Bandlow, UCSD|
|Location: ||1147 MSB|
|Start time: ||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.