Refined canonical stable Grothendieck polynomials and their duals, Part 1
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arXiv
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| Autores principales: | , , , , |
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| Formato: | Preprint |
| Publicado: |
2021
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| _version_ | 1866911824700506112 |
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| author | Hwang, Byung-Hak Jang, Jihyeug Kim, Jang Soo Song, Minho Song, U-Keun |
| author_facet | Hwang, Byung-Hak Jang, Jihyeug Kim, Jang Soo Song, Minho Song, U-Keun |
| contents | In this paper we introduce refined canonical stable Grothendieck polynomials and their duals with two infinite sequences of parameters. These polynomials unify several generalizations of Grothendieck polynomials including canonical stable Grothendieck polynomials due to Yeliussizov, refined Grothendieck polynomials due to Chan and Pflueger, and refined dual Grothendieck polynomials due to Galashin, Liu, and Grinberg. We give Jacobi--Trudi-like formulas, combinatorial models, Schur expansions, Schur positivity, and dualities of these polynomials. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2104_04251 |
| institution | arXiv |
| publishDate | 2021 |
| record_format | arxiv |
| spellingShingle | Refined canonical stable Grothendieck polynomials and their duals, Part 1 Hwang, Byung-Hak Jang, Jihyeug Kim, Jang Soo Song, Minho Song, U-Keun Combinatorics 05E05 In this paper we introduce refined canonical stable Grothendieck polynomials and their duals with two infinite sequences of parameters. These polynomials unify several generalizations of Grothendieck polynomials including canonical stable Grothendieck polynomials due to Yeliussizov, refined Grothendieck polynomials due to Chan and Pflueger, and refined dual Grothendieck polynomials due to Galashin, Liu, and Grinberg. We give Jacobi--Trudi-like formulas, combinatorial models, Schur expansions, Schur positivity, and dualities of these polynomials. |
| title | Refined canonical stable Grothendieck polynomials and their duals, Part 1 |
| topic | Combinatorics 05E05 |
| url | https://arxiv.org/abs/2104.04251 |