Identities involving (doubly) symmetric polynomials and integrals over Grassmannians
We obtain identities involving symmetric and doubly symmetric polynomials. These identities provide a way of handling expressions appearing in the Atiyah–Bott–Berline–Vergne formula for Grassmannians. As corollaries, we obtain formulas for integrals over Grassmannians of characteristic classes of th...
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| Định dạng: | Journal article |
| Ngôn ngữ: | English |
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2023
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| Truy cập trực tuyến: | https://scholar.dlu.edu.vn/handle/123456789/2324 |
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| Thư viện lưu trữ: | Thư viện Trường Đại học Đà Lạt |
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oai:scholar.dlu.edu.vn:123456789-23242023-06-14T02:36:24Z Identities involving (doubly) symmetric polynomials and integrals over Grassmannians Đặng, Tuấn Hiệp We obtain identities involving symmetric and doubly symmetric polynomials. These identities provide a way of handling expressions appearing in the Atiyah–Bott–Berline–Vergne formula for Grassmannians. As corollaries, we obtain formulas for integrals over Grassmannians of characteristic classes of the tautological bundles. Moreover, we provide a proof of the Martin formula for the classical Grassmannian. 246 2 181-191 2023-05-19T06:46:32Z 2023-05-19T06:46:32Z 2019-03-15 Journal article Bài báo đăng trên tạp chí thuộc ISI, bao gồm book chapter https://scholar.dlu.edu.vn/handle/123456789/2324 10.4064/fm553-9-2018 en Fundamenta Mathematicae |
| institution |
Thư viện Trường Đại học Đà Lạt |
| collection |
Thư viện số |
| language |
English |
| description |
We obtain identities involving symmetric and doubly symmetric polynomials. These identities provide a way of handling expressions appearing in the Atiyah–Bott–Berline–Vergne formula for Grassmannians. As corollaries, we obtain formulas for integrals over Grassmannians of characteristic classes of the tautological bundles. Moreover, we provide a proof of the Martin formula for the classical Grassmannian. |
| format |
Journal article |
| author |
Đặng, Tuấn Hiệp |
| spellingShingle |
Đặng, Tuấn Hiệp Identities involving (doubly) symmetric polynomials and integrals over Grassmannians |
| author_facet |
Đặng, Tuấn Hiệp |
| author_sort |
Đặng, Tuấn Hiệp |
| title |
Identities involving (doubly) symmetric polynomials and integrals over Grassmannians |
| title_short |
Identities involving (doubly) symmetric polynomials and integrals over Grassmannians |
| title_full |
Identities involving (doubly) symmetric polynomials and integrals over Grassmannians |
| title_fullStr |
Identities involving (doubly) symmetric polynomials and integrals over Grassmannians |
| title_full_unstemmed |
Identities involving (doubly) symmetric polynomials and integrals over Grassmannians |
| title_sort |
identities involving (doubly) symmetric polynomials and integrals over grassmannians |
| publishDate |
2023 |
| url |
https://scholar.dlu.edu.vn/handle/123456789/2324 |
| _version_ |
1778233850422362112 |