On Projective Equivalence of Univariate Polynomial Subspaces

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Фізико-технічні та математичні науки
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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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dc.contributor.author	Crooks, P.
dc.contributor.author	Milson, R.
dc.date.accessioned	2019-02-19T17:20:43Z
dc.date.available	2019-02-19T17:20:43Z
dc.date.issued	2009
dc.identifier.citation	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.	uk_UA
dc.identifier.issn	1815-0659
dc.identifier.other	2000 Mathematics Subject Classification: 14M15; 15A72; 34A30; 58K05
dc.identifier.uri	http://dspace.nbuv.gov.ua/handle/123456789/149100
dc.description.abstract	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.	uk_UA
dc.description.sponsorship	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.	uk_UA
dc.language.iso	en	uk_UA
dc.publisher	Інститут математики НАН України	uk_UA
dc.relation.ispartof	Symmetry, Integrability and Geometry: Methods and Applications
dc.title	On Projective Equivalence of Univariate Polynomial Subspaces	uk_UA
dc.type	Article	uk_UA
dc.status	published earlier	uk_UA