A two-parameter deformation of the quasi-shuffle and new bases of quasi-symmetric functions

2022/09/27 by Bouillot, Olivier, Novelli, Jean-Christophe, Thibon, Jean-Yves
#Combinatorics (math.CO) #FOS: Mathematics

paper · doi:10.48550/arxiv.2209.13317

Abstract

We define a two-parameter deformation of the quasi-shuffle by means of the formal group law associated with the exponential generating function of the homogeneous Eulerian polynomials, and construct bases of QSym and \WQSym whose product rule is given by this operation.

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