Parking Functions and Descent Algebras

Details Parking Functions and Descent Algebras Parking Functions and Descent Algebras

2004-11-17

arxiv.org/abs/math/0411387v1

Mathematics

Combinatorics

8 pages, LaTex

Scientific paper

We show that the notion of parkization of a word, a variant of the classical
standardization, allows 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.

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