##### Department of Mathematics,

University of California San Diego

****************************

### Math 269 - Combinatorics

## Jason Bandlow

#### UCSD Graduate Student

## A new proof of the hook formula

##### Abstract:

A new proof of the hook formula Abstract: 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.

### January 23, 2007

### 3:00 PM

### AP&M 7321

****************************