ALGEBRAIC COMBINATORICS

no. 4

Schubert polynomials, 132-patterns, and Stanley’s conjecture
Algebraic Combinatorics, Volume 1 (2018) no. 4, pp. 415-423.

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.

Received: 2017-07-28
Revised: 2018-05-28
Accepted: 2018-06-12
Published online: 2018-09-10
DOI: https://doi.org/10.5802/alco.27
Keywords: Schubert polynomials, permutation patterns 
@article{ALCO_2018__1_4_415_0,
     author = {Weigandt, Anna E.},
     title = {Schubert polynomials, 132-patterns, and Stanley's conjecture},
     journal = {Algebraic Combinatorics},
     pages = {415--423},
     publisher = {MathOA foundation},
     volume = {1},
     number = {4},
     year = {2018},
     doi = {10.5802/alco.27},
     mrnumber = {3875071},
     zbl = {1397.05205},
     language = {en},
     url = {https://alco.centre-mersenne.org/item/ALCO_2018__1_4_415_0/}
}
Weigandt, Anna E. Schubert polynomials, 132-patterns, and Stanley’s conjecture. Algebraic Combinatorics, Volume 1 (2018) no. 4, pp. 415-423. doi : 10.5802/alco.27. https://alco.centre-mersenne.org/item/ALCO_2018__1_4_415_0/

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