Timeline for Generalization of permanent definition based on number of permutation cycles
Current License: CC BY-SA 2.5
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| Mar 15, 2010 at 18:29 | comment | added | Richard Stanley | Continuing Doug's answer, when we write $x^{n(\pi)}$ as a linear combination of irreducible characters $\chi^\lambda$, then the coefficient of $\chi^\lambda$ is $\prod_u (x+c(u))/h(u)$, where $u$ runs over all squares in the diagram of $\lambda$, $c(u)$ is the content of $u$, and $h(u)$ is the hook length of $u$. | |
| Mar 15, 2010 at 17:48 | history | answered | Douglas Zare | CC BY-SA 2.5 |