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періодичних видань НАН України
On Projective Equivalence of Univariate Polynomial Subspaces
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- Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)
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- Symmetry, Integrability and Geometry: Methods and Applications, 2009, том 5
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On Projective Equivalence of Univariate Polynomial Subspaces
Інший ID:
2000 Mathematics Subject Classification: 14M15; 15A72; 34A30; 58K05
Посилання:
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.
Підтримка:
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.
Дата:
2009
Переглядів:
338
Завантажень:
214
Анотація:
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.
