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Algebraic Combinatorics
Article . 2018 . Peer-reviewed
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Algebraic Combinatorics
Article
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Preprint . 2017
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Article . 2018
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https://dx.doi.org/10.48550/ar...
Article . 2017
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Schubert polynomials, 132-patterns, and Stanley’s conjecture

Schubert polynomials, 132-patterns, and Stanley's conjecture
descriptionPublicationkeyboard_double_arrow_right Article , Preprint , Other literature type 10 Sep 2018Embargo end date: 01 Jan 2017 English Publisher:MathDoc/Centre MersenneJournal:Algebraic Combinatorics, volume 1, pages 415-423 (eissn: 2589-5486, Copyright policy )
Authors: Weigandt, Anna E.;

doi: 10.5802/alco.27 , 10.48550/arxiv.1705.02065

arXiv: 1705.02065

Schubert polynomials, 132-patterns, and Stanley’s conjecture

Abstract

Motivated by a recent conjecture of R. P. Stanley we offer a lower bound for the sum of the coefficients of a Schubert polynomial in terms of 132 -pattern containment.

Keywords

Symmetric functions and generalizations, Schubert polynomials, permutation patterns, FOS: Mathematics, Mathematics - Combinatorics, Combinatorics (math.CO), Grassmannians, Schubert varieties, flag manifolds, Combinatorial aspects of groups and algebras

  • BIP!
    Impact byBIP!
    selected citations
    These citations are derived from selected sources.
    This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
    		 2
    popularity
    This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
    		 Average
    influence
    This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
    		 Average
    impulse
    This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
    		 Average
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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
2
Average
Average
Average
Green
Published in a Diamond OA journal