Geodesic
An involution on RC-graphs and a conjecture on dual Schubert polynomials by Postnikov and Stanley
Gao, Yibo1
1Massachusetts Institute of Technology Department of Mathematics Cambridge MA 02142, USA
Algebraic Combinatorics, Volume 3 (2020) no. 3, pp. 593-602

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Zbl

In this paper, we provide explicit formula for the dual Schubert polynomials of a special class of permutations using certain involution principals on RC-graphs, resolving a conjecture by Postnikov and Stanley.

Received:
Revised:
Accepted:
Published online:
DOI: 10.5802/alco.105
Classification: 05E05, 14N15
Keywords: Schubert polynomial, dual Schubert polynomial, Bruhat chains

Gao, Yibo  1

1 Massachusetts Institute of Technology Department of Mathematics Cambridge MA 02142, USA
License: CC-BY 4.0
Copyrights: The authors retain unrestricted copyrights and publishing rights
Gao, Yibo. An involution on RC-graphs and a conjecture on dual Schubert polynomials by Postnikov and Stanley. Algebraic Combinatorics, Volume 3 (2020) no. 3, pp. 593-602. doi: 10.5802/alco.105
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     title = {An involution on {RC-graphs} and a conjecture on dual {Schubert} polynomials by {Postnikov} and {Stanley}},
     journal = {Algebraic Combinatorics},
     pages = {593--602},
     year = {2020},
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     doi = {10.5802/alco.105},
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