A Murnaghan-Nakayama rule for Grothendieck polynomials of Grassmannian type
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 Gr...
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Springer Nature
2024
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| Truy cập trực tuyến: | https://scholar.dlu.edu.vn/handle/123456789/3427 https://doi.org/10.1007/s00026-023-00659-x |
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oai:scholar.dlu.edu.vn:123456789-34272024-04-23T08:28:24Z A Murnaghan-Nakayama rule for Grothendieck polynomials of Grassmannian type Duc-Khanh Nguyen Đặng, Tuấn Hiệp Tran Ha Son Do Le Hai Thuy Murnaghan–Nakayama rule Grothendieck polynomials K-theory of Grassmannians 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. 28 1 155-168 2024-04-14T03:21:17Z 2024-04-14T03:21:17Z 2023-07-25 Journal article Bài báo đăng trên tạp chí thuộc ISI, bao gồm book chapter https://scholar.dlu.edu.vn/handle/123456789/3427 https://doi.org/10.1007/s00026-023-00659-x en B2022-CTT-02 DLTE00.04/23-24 Annals of Combinatorics 0219-3094, 0218-0006 #PLACEHOLDER_PARENT_METADATA_VALUE# #PLACEHOLDER_PARENT_METADATA_VALUE# Springer Nature |
| institution |
Thư viện Trường Đại học Đà Lạt |
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Thư viện số |
| language |
English |
| topic |
Murnaghan–Nakayama rule Grothendieck polynomials K-theory of Grassmannians |
| spellingShingle |
Murnaghan–Nakayama rule Grothendieck polynomials K-theory of Grassmannians Duc-Khanh Nguyen Đặng, Tuấn Hiệp Tran Ha Son Do Le Hai Thuy A Murnaghan-Nakayama rule for Grothendieck polynomials of Grassmannian type |
| description |
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 |
Journal article |
| author |
Duc-Khanh Nguyen Đặng, Tuấn Hiệp Tran Ha Son Do Le Hai Thuy |
| author_facet |
Duc-Khanh Nguyen Đặng, Tuấn Hiệp Tran Ha Son Do Le Hai Thuy |
| author_sort |
Duc-Khanh Nguyen |
| title |
A Murnaghan-Nakayama rule for Grothendieck polynomials of Grassmannian type |
| title_short |
A Murnaghan-Nakayama rule for Grothendieck polynomials of Grassmannian type |
| title_full |
A Murnaghan-Nakayama rule for Grothendieck polynomials of Grassmannian type |
| title_fullStr |
A Murnaghan-Nakayama rule for Grothendieck polynomials of Grassmannian type |
| title_full_unstemmed |
A Murnaghan-Nakayama rule for Grothendieck polynomials of Grassmannian type |
| title_sort |
murnaghan-nakayama rule for grothendieck polynomials of grassmannian type |
| publisher |
Springer Nature |
| publishDate |
2024 |
| url |
https://scholar.dlu.edu.vn/handle/123456789/3427 https://doi.org/10.1007/s00026-023-00659-x |
| _version_ |
1798257032880455680 |