Séminaire Lotharingien de Combinatoire, 93B.144 (2025), 12 pp.
Farid Aliniaeifardw and Shu Xiao Li
Peak Algebra in Noncommuting Variables
Abstract.
The well-known descent-to-peak map θ for the Hopf algebra of quasisymmetric functions, QSym, and the peak algebra Π were originally defined by Stembridge in 1997. We define the labelled descent-to-peak map Θ and extend the notion of the peak algebra to noncommuting variables.
Received: November 15, 2024.
Accepted: February 15, 2025.
Final version: April 1, 2025.
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