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Positive
expansions of extended Schur functions in the Young
quasisymmetric Schur basis
Chloe’ Marcum and Elizabeth Niese |
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Vol. 17 (2024), No. 2, 217–232
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Abstract |
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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. |
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Keywords
quasisymmetric functions, Schur polynomials, extended Schur
functions, dual immaculate functions
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Mathematical Subject Classification
Primary: 05E05
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Milestones
Received: 18 June 2021
Revised: 25 January 2023
Accepted: 23 February 2023
Published: 20 May 2024
Communicated by Kenneth S. Berenhaut
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Authors |
| Chloe’ Marcum | |
| University of Kentucky Lexington, KY United States |
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| Elizabeth Niese | |
| Marshall University Huntington, WV United States |
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| © 2024 MSP (Mathematical Sciences Publishers). |
