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Abstract
There are a number of Schur-like bases for the quasisymmetric functions. Extended
Schur functions, introduced by Assaf and Searles, expand positively in the Young
quasisymmetric Schur basis for certain indexing compositions. We establish this
expansion using an algorithm defined by Allen, Hallam, and Mason restricted to the
generating objects of the extended Schur functions.
Keywords
quasisymmetric functions, Schur polynomials, extended Schur
functions, dual immaculate functions
Mathematical Subject Classification
Primary: 05E05
Milestones
Received: 18 June 2021
Revised: 25 January 2023
Accepted: 23 February 2023
Published: 20 May 2024
Communicated by Kenneth S. Berenhaut
© 2024 MSP (Mathematical Sciences
Publishers).