Principal specializations of Schubert polynomials and pattern containment
نویسندگان
چکیده
The principal specialization ?w=Sw(1,…,1) of the Schubert polynomial at w, which equals degree matrix variety corresponding to has attracted a lot attention in recent years. In this paper, we show that ?w is bounded below by 1+p132(w)+p1432(w) where pu(w) number occurrences pattern u strengthening previous result A. Weigandt. We then make conjecture relating polynomials containment. Finally, characterize permutations w whose RC-graphs are connected simple ladder moves via avoidance.
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ژورنال
عنوان ژورنال: European Journal of Combinatorics
سال: 2021
ISSN: ['1095-9971', '0195-6698']
DOI: https://doi.org/10.1016/j.ejc.2020.103291