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Coincidences
among skew stable and dual stable Grothendieck
polynomials
Ethan Alwaise, Shuli Chen, Alexander Clifton, Rebecca Patrias, Rohil Prasad, Madeline Shinners and Albert Zheng
Vol. 11 (2018), No. 1, 143–167
DOI: 10.2140/involve.2018.11.143
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Abstract |
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The question of when two skew Young diagrams produce the same skew Schur function has been well studied. We investigate the same question in the case of stable Grothendieck polynomials, which are the -theoretic analogues of the Schur functions. We prove a necessary condition for two skew shapes to give rise to the same dual stable Grothendieck polynomial. We also provide a necessary and sufficient condition in the case where the two skew shapes are ribbons. |
Keywords
symmetric functions, Grothendieck polynomials
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Mathematical Subject Classification 2010
Primary: 05E05
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Milestones
Received: 6 October 2016
Accepted: 24 November 2016
Published: 17 July 2017
Communicated by Jim Haglund
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Authors |
| Ethan Alwaise | |
| Department of Mathematics and
Computer Science Emory University Atlanta, GA 30322 United States |
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| Shuli Chen | |
| Cornell University Ithaca, NY 14850 United States |
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| Alexander Clifton | |
| Massachusetts Institute of
Technology Cambridge, MA 02139 United States |
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| Rebecca Patrias | |
| Université du Québec à
Montréal Montreal QC H2L 2C4 Canada |
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| Rohil Prasad | |
| Harvard University Cambridge, MA 02138 United States |
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| Madeline Shinners | |
| University of
Wisconsin-Madison Madison, WI 53706 United States |
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| Albert Zheng | |
| University of
California-Berkeley Berkeley, CA 94720 United States |
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