Polynomial functions on the classical projective spaces

Yu. I. Lyubich, and O. A. Shatalova. "Polynomial functions on the classical projective spaces." Studia Mathematica 170.1 (2005): 77-87. <http://eudml.org/doc/286691>.

@article{Yu2005,
abstract = {The polynomial functions on a projective space over a field = ℝ, ℂ or ℍ come from the corresponding sphere via the Hopf fibration. The main theorem states that every polynomial function ϕ(x) of degree d is a linear combination of “elementary” functions $|⟨x,·⟩|^\{d\}$.},
author = {Yu. I. Lyubich, O. A. Shatalova},
journal = {Studia Mathematica},
keywords = {projective space; polynomial functions; invariant forms},
language = {eng},
number = {1},
pages = {77-87},
title = {Polynomial functions on the classical projective spaces},
url = {http://eudml.org/doc/286691},
volume = {170},
year = {2005},
}

TY - JOUR
AU - Yu. I. Lyubich
AU - O. A. Shatalova
TI - Polynomial functions on the classical projective spaces
JO - Studia Mathematica
PY - 2005
VL - 170
IS - 1
SP - 77
EP - 87
AB - The polynomial functions on a projective space over a field = ℝ, ℂ or ℍ come from the corresponding sphere via the Hopf fibration. The main theorem states that every polynomial function ϕ(x) of degree d is a linear combination of “elementary” functions $|⟨x,·⟩|^{d}$.
LA - eng
KW - projective space; polynomial functions; invariant forms
UR - http://eudml.org/doc/286691
ER -