dorsal/arxiv
View SchemaSkew divided difference operators and Schubert polynomials
| Authors | Anatol N. Kirillov |
|---|---|
| Categories | |
| ArXiv ID | q-alg/9712053 |
| URL | https://arxiv.org/abs/q-alg/9712053 |
Abstract
We study an action of the skew divided difference operators on the Schubert polynomials and give an explicit formula for structural constants for the Schubert polynomials in terms of certain weighted paths in the Bruhat order on the symmetric group. We also prove that, under certain assumptions, the skew divided difference operators transform Schubert polynomials into polynomials with positive integer coefficients.
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"record": {
"abstract": "We study an action of the skew divided difference operators on the Schubert\npolynomials and give an explicit formula for structural constants for the\nSchubert polynomials in terms of certain weighted paths in the Bruhat order on\nthe symmetric group. We also prove that, under certain assumptions, the skew\ndivided difference operators transform Schubert polynomials into polynomials\nwith positive integer coefficients.",
"arxiv_id": "q-alg/9712053",
"authors": [
"Anatol N. Kirillov"
],
"categories": [
"q-alg",
"math.QA"
],
"title": "Skew divided difference operators and Schubert polynomials",
"url": "https://arxiv.org/abs/q-alg/9712053"
},
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