A Hopf algebra of parking functions
| dc.creator | Novelli, Jean-Christophe | |
| dc.creator | Thibon, Jean-Yves | |
| dc.date | 2003-12-05 | |
| dc.date.accessioned | 2026-07-07T05:03:36Z | |
| dc.date.available | 2026-07-07T05:03:36Z | |
| dc.description | If the moments of a probability measure on $\R$ are interpreted as a specialization of complete homogeneous symmetric functions, its free cumulants are, up to sign, the corresponding specializations of a sequence of Schur positive symmetric functions $(f_n)$. We prove that $(f_n)$ is the Frobenius characteristic of the natural permutation representation of $\SG_n$ on the set of prime parking functions. This observation leads us to the construction of a Hopf algebra of parking functions, which we study in some detail. | |
| dc.description | AmsLatex, 14 pages | |
| dc.identifier | https://arxiv.org/abs/math/0312126 | |
| dc.identifier | http://arxiv.org/abs/math/0312126 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/69485 | |
| dc.subject | Combinatorics | |
| dc.title | A Hopf algebra of parking functions | |
| dc.type | text |