Answer by john mangual for partitions into odd parts vs hooks and symplectic...
Buried in the paper by Nekrasov and Okounkov - Seiberg-Witten Theory and Random Partitions - is the following hook length formula:$$ \eta(q)^{\,\mu^2 -1} = \prod_{n \geq 0} (1 - q^n)^{\mu^2 - 1} =...
View Articlepartitions into odd parts vs hooks and symplectic contents
Given a partition $\lambda=(\lambda_1\geq\lambda_2\geq\dots)$, denote the conjugate partition by $\lambda'=(\lambda_1'\geq\lambda_2'\geq\dots)$. For example, if $\lambda=(4,2,2)$ then...
View Article
