Parking Functions and Descent Algebras |
| |
| Authors: | Jean-Christophe Novelli Jean-Yves Thibon |
| |
| Institution: | (1) Institut Gaspard Monge, Université de Marne-la-Vallée, 5 Boulevard Descartes, Champs-sur-Marne, 77454 Marne-la-Vallée cedex 2, France |
| |
| Abstract: | We show that the notion of parkization of a word, a variant of the classical standardization, allows us to introduce an internal
product on the Hopf algebra of parking functions. Its Catalan subalgebra is stable under this operation and contains the descent
algebra as a left ideal.
Received March 1, 2005 |
| |
| Keywords: | AMS Subject Classification:" target="_blank">AMS Subject Classification: 05E05 16W30 |
| 本文献已被 SpringerLink 等数据库收录！ |
