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Parking Functions and Descent Algebras

✍ Scribed by Jean-Christophe Novelli; Jean-Yves Thibon


Publisher
Springer
Year
2007
Tongue
English
Weight
165 KB
Volume
11
Category
Article
ISSN
0218-0006

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The ring QSym of quasi-symmetric functions is naturally the dual of the Solomon descent algebra. The product and the two coproducts of the first (extending those of the symmetric functions) correspond to a coproduct and two products of the second, which are defined by restriction from the symmetric