On Projective Equivalence of Univariate Polynomial Subspaces

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2009
• Main Authors: Crooks, P., Milson, R.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2009
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/149100
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: 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.

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...