Expanding quasisymmetric Schur Q-functions into peak Young quasisymmetric Schur functions

Dominic Searles; Matthew Slattery-Holmes

doi:10.4310/JOC.260210030421

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Expanding quasisymmetric Schur Q-functions into peak Young quasisymmetric Schur functions

Journal article

Peer reviewed

Expanding quasisymmetric Schur Q-functions into peak Young quasisymmetric Schur functions

Dominic Searles and Matthew Slattery-Holmes

The journal of combinatorics, Vol.17(1), pp.121-143

09/02/2026

DOI: https://doi.org/10.4310/JOC.260210030421

Handle:

https://hdl.handle.net/10523/49856

Abstract

Quasisymmetric functions

peak functions

tableaux

The dual immaculate and Young quasisymmetric Schur bases of quasisymmetric functions possess analogues in the peak algebra: respectively, the quasisymmetric Schur Q-functions and the peak Young quasisymmetric Schur functions. We show elements of the former basis expand into the latter basis with nonnegative coefficients.

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Record Identifier: 9926847133401891
Title: Expanding quasisymmetric Schur Q-functions into peak Young quasisymmetric Schur functions
Creators: Dominic Searles
Matthew Slattery-Holmes
Publication Details: The journal of combinatorics, Vol.17(1), pp.121-143
Academic Unit: Mathematics; Mathematics and Statistics
Publisher: International Press
Grants: Royal Society Te Apārangi (New Zealand, Wellington)
Date published ; e-published: 09/02/2026
Comment: The published version is not available in full-text in OUR Archive. Where available, a link to the published version is provided (check the DOI and/or the Files and links section). The full-text item may be open access on the publisher's website. An earlier version of the work (such as authors' accepted manuscript following peer-review or unreviewed preprint/author's original version) may be available in the Files and links section of this record. Alternatively, readers may have subscription access to the full-text from the publisher.
Language: English
Resource Type ; Subtype: Journal article

Expanding quasisymmetric Schur Q-functions into peak Young quasisymmetric Schur functions

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