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 -pattern containment.
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DOI : https://doi.org/10.5802/alco.27
Mots clés : Schubert polynomials, permutation patterns
@article{ALCO_2018__1_4_415_0, author = {Weigandt, Anna E.}, title = {Schubert polynomials, 132-patterns, and {Stanley{\textquoteright}s} conjecture}, journal = {Algebraic Combinatorics}, pages = {415--423}, publisher = {MathOA foundation}, volume = {1}, number = {4}, year = {2018}, doi = {10.5802/alco.27}, zbl = {1397.05205}, mrnumber = {3875071}, language = {en}, url = {http://www.numdam.org/articles/10.5802/alco.27/} }
TY - JOUR AU - Weigandt, Anna E. TI - Schubert polynomials, 132-patterns, and Stanley’s conjecture JO - Algebraic Combinatorics PY - 2018 DA - 2018/// SP - 415 EP - 423 VL - 1 IS - 4 PB - MathOA foundation UR - http://www.numdam.org/articles/10.5802/alco.27/ UR - https://zbmath.org/?q=an%3A1397.05205 UR - https://www.ams.org/mathscinet-getitem?mr=3875071 UR - https://doi.org/10.5802/alco.27 DO - 10.5802/alco.27 LA - en ID - ALCO_2018__1_4_415_0 ER -
Weigandt, Anna E. Schubert polynomials, 132-patterns, and Stanley’s conjecture. Algebraic Combinatorics, Tome 1 (2018) no. 4, pp. 415-423. doi : 10.5802/alco.27. http://www.numdam.org/articles/10.5802/alco.27/
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