Stability of products of double Grothendieck polynomials
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arXiv
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| Format: | Preprint |
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2025
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| _version_ | 1866918165875785728 |
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| author | Hardt, Andrew Wallach, David |
| author_facet | Hardt, Andrew Wallach, David |
| contents | We prove that products of double Grothendieck polynomials have the same back- and forward-stability numbers as products of Schubert polynomials, characterize which simple reflections appear in such products, and also give a new proof of a finiteness conjecture of Lam-Lee-Shimozono on products of back-stable Grothendieck polynomials which was first proved by Anderson. To do this, we use the main theorems from our recent work, as well as expansion formulas of Lenart, Fomin-Kirillov, and Lam-Lee-Shimozono. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2501_14691 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Stability of products of double Grothendieck polynomials Hardt, Andrew Wallach, David Combinatorics 14N15, 05E14 We prove that products of double Grothendieck polynomials have the same back- and forward-stability numbers as products of Schubert polynomials, characterize which simple reflections appear in such products, and also give a new proof of a finiteness conjecture of Lam-Lee-Shimozono on products of back-stable Grothendieck polynomials which was first proved by Anderson. To do this, we use the main theorems from our recent work, as well as expansion formulas of Lenart, Fomin-Kirillov, and Lam-Lee-Shimozono. |
| title | Stability of products of double Grothendieck polynomials |
| topic | Combinatorics 14N15, 05E14 |
| url | https://arxiv.org/abs/2501.14691 |