On Projective Equivalence of Univariate Polynomial Subspaces
We pose and solve the equivalence problem for subspaces of Pn, the (n+1) dimensional vector space of univariate polynomials of degree ≤ n. The group of interest is SL2 acting by projective transformations on the Grassmannian variety GkPn of k-dimensional subspaces. We establish the equivariance of t...
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| Опубліковано в: : | Symmetry, Integrability and Geometry: Methods and Applications |
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| Дата: | 2009 |
| Автори: | , |
| Формат: | Стаття |
| Мова: | Англійська |
| Опубліковано: |
Інститут математики НАН України
2009
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| Онлайн доступ: | https://nasplib.isofts.kiev.ua/handle/123456789/149100 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | On Projective Equivalence of Univariate Polynomial Subspaces / P. Crooks, R. Milson // Symmetry, Integrability and Geometry: Methods and Applications. — 2009. — Т. 5. — Бібліогр.: 20 назв. — англ. |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862739997915873280 |
|---|---|
| author | Crooks, P. Milson, R. |
| author_facet | Crooks, P. Milson, R. |
| citation_txt | On Projective Equivalence of Univariate Polynomial Subspaces / P. Crooks, R. Milson // Symmetry, Integrability and Geometry: Methods and Applications. — 2009. — Т. 5. — Бібліогр.: 20 назв. — англ. |
| collection | DSpace DC |
| container_title | Symmetry, Integrability and Geometry: Methods and Applications |
| description | We pose and solve the equivalence problem for subspaces of Pn, the (n+1) dimensional vector space of univariate polynomials of degree ≤ n. The group of interest is SL2 acting by projective transformations on the Grassmannian variety GkPn of k-dimensional subspaces. We establish the equivariance of the Wronski map and use this map to reduce the subspace equivalence problem to the equivalence problem for binary forms.
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| first_indexed | 2025-12-07T20:11:59Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-149100 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1815-0659 |
| language | English |
| last_indexed | 2025-12-07T20:11:59Z |
| publishDate | 2009 |
| publisher | Інститут математики НАН України |
| record_format | dspace |
| spelling | Crooks, P. Milson, R. 2019-02-19T17:20:43Z 2019-02-19T17:20:43Z 2009 On Projective Equivalence of Univariate Polynomial Subspaces / P. Crooks, R. Milson // Symmetry, Integrability and Geometry: Methods and Applications. — 2009. — Т. 5. — Бібліогр.: 20 назв. — англ. 1815-0659 2000 Mathematics Subject Classification: 14M15; 15A72; 34A30; 58K05 https://nasplib.isofts.kiev.ua/handle/123456789/149100 We pose and solve the equivalence problem for subspaces of Pn, the (n+1) dimensional vector space of univariate polynomials of degree ≤ n. The group of interest is SL2 acting by projective transformations on the Grassmannian variety GkPn of k-dimensional subspaces. We establish the equivariance of the Wronski map and use this map to reduce the subspace equivalence problem to the equivalence problem for binary forms. Discussions with D. G´omez-Ullate and N. Kamran are gratefully acknowledged. P.C. was supported by an NSERC Undergraduate Summer Research Award. R.M. is supported by an NSERC discovery grant. en Інститут математики НАН України Symmetry, Integrability and Geometry: Methods and Applications On Projective Equivalence of Univariate Polynomial Subspaces Article published earlier |
| spellingShingle | On Projective Equivalence of Univariate Polynomial Subspaces Crooks, P. Milson, R. |
| title | On Projective Equivalence of Univariate Polynomial Subspaces |
| title_full | On Projective Equivalence of Univariate Polynomial Subspaces |
| title_fullStr | On Projective Equivalence of Univariate Polynomial Subspaces |
| title_full_unstemmed | On Projective Equivalence of Univariate Polynomial Subspaces |
| title_short | On Projective Equivalence of Univariate Polynomial Subspaces |
| title_sort | on projective equivalence of univariate polynomial subspaces |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/149100 |
| work_keys_str_mv | AT crooksp onprojectiveequivalenceofunivariatepolynomialsubspaces AT milsonr onprojectiveequivalenceofunivariatepolynomialsubspaces |