Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4625222 | Advances in Applied Mathematics | 2008 | 16 Pages |
Abstract
Kerov polynomials express the normalized characters of irreducible representations of the symmetric group, evaluated on a cycle, as polynomials in the “free cumulants” of the associated Young diagram. We present two positivity conjectures for their coefficients. The latter are stronger than the positivity conjecture of Kerov–Biane, recently proved by Féray.
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics