Parking Functions and Descent Algebras
classification
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math.GR
keywords
algebradescentfunctionsparkingalgebrasallowscatalanclassical
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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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