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

Published 27 Sep 2022 in math.CO | (2209.13317v1)

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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