The Pieri Rule for Dual Immaculate Quasi-Symmetric Functions

Juana Sánchez-Ortega
Juana Sánchez-Ortega

Annals of Combinatorics, pp. 283-300, 2016.

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Keywords:
05E05non-commutative symmetric functionsquasi-symmetric functionstableauxSchur functions

Abstract:

The immaculate basis of the non-commutative symmetric functions was recently introduced by the first and third authors to lift certain structures in the symmetric functions to the dual Hopf algebras of the non-commutative and quasi-symmetric functions. It was shown that immaculate basis satisfies a positive, multiplicity free right Pieri ...More

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