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A Noncommutative Cycle Index and New Bases of Quasi-symmetric Functions and Noncommutative Symmetric Functions [PDF]

open access: yesAnnals of Combinatorics, 2020
We define a new basis of the algebra of quasi-symmetric functions by lifting the cycle-index polynomials of symmetric groups to noncommutative polynomials with coefficients in the algebra of free quasi-symmetric functions, and then projecting the coefficients to $QSym$.
Jean-Yves Thibon   +1 more
exaly   +4 more sources

Acyclic Complexes Related to Noncommutative Symmetric Functions [PDF]

open access: yesJournal of Algebraic Combinatorics, 1997
Nous introduisons une famille de complexes acycliques sur l'algèbre des fonctions symétriques non commutatives.
D Krob
exaly   +4 more sources

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