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arXiv · 1905.00047

Padded Schubert polynomials and weighted enumeration of Bruhat chains

Christian Gaetz·Yibo Gao
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Abstract

We prove a common generalization of the fact that the weighted number of maximal chains in the strong Bruhat order on the symmetric group is ${n \choose 2}!$ for both the code weights and the Chevalley weights. We also define weights which give a one-parameter family of strong order analogues of Macdonald's reduced word identity for Schubert polynomials.

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Christian Gaetz, Yibo Gao. 2020-10-31. Padded Schubert polynomials and weighted enumeration of Bruhat chains. https://doi.org/10.1090/proc%2F15005

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