Séminaire Lotharingien de Combinatoire, 86B.37 (2022), 12 pp.

Dominic Searles

0-Hecke-Clifford Modules From Diagrams

Abstract. We construct modules of 0-Hecke algebras and 0-Hecke-Clifford algebras from fillings of diagrams of boxes in the plane. We apply this general construction method to solve a problem posed in (N. Jing and Y. Li, 2015), to define a new basis of the peak algebra analogous to quasiymmetric Schur functions, and to manifest a new connection between quasiymmetric Schur functions and Schur Q-functions.

Received: November 25, 2021. Accepted: March 4, 2022. Final version: April 1, 2022.

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