A Murnaghan-Nakayama rule for Grothendieck polynomials of Grassmannian type
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arXiv
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| Format: | Preprint |
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2021
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| _version_ | 1866914791701872640 |
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| author | Duc, Khanh Nguyen Hiep, Dang Tuan Son, Tran Ha Thuy, Do Le Hai |
| author_facet | Duc, Khanh Nguyen Hiep, Dang Tuan Son, Tran Ha Thuy, Do Le Hai |
| contents | We consider the Grothendieck polynomials appearing in the K-theory of Grassmannians, which are analogs of Schur polynomials. This paper aims to establish a version of the Murnaghan-Nakayama rule for Grothendieck polynomials of the Grassmannian type. This rule allows us to express the product of a Grothendieck polynomial with a power sum symmetric polynomial into a linear combination of other Grothendieck polynomials. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2110_06112 |
| institution | arXiv |
| publishDate | 2021 |
| record_format | arxiv |
| spellingShingle | A Murnaghan-Nakayama rule for Grothendieck polynomials of Grassmannian type Duc, Khanh Nguyen Hiep, Dang Tuan Son, Tran Ha Thuy, Do Le Hai Combinatorics Algebraic Geometry K-Theory and Homology Representation Theory 05E05, 14M15, 19E08 We consider the Grothendieck polynomials appearing in the K-theory of Grassmannians, which are analogs of Schur polynomials. This paper aims to establish a version of the Murnaghan-Nakayama rule for Grothendieck polynomials of the Grassmannian type. This rule allows us to express the product of a Grothendieck polynomial with a power sum symmetric polynomial into a linear combination of other Grothendieck polynomials. |
| title | A Murnaghan-Nakayama rule for Grothendieck polynomials of Grassmannian type |
| topic | Combinatorics Algebraic Geometry K-Theory and Homology Representation Theory 05E05, 14M15, 19E08 |
| url | https://arxiv.org/abs/2110.06112 |