The blossoming principle
1 Polynomial maps between affine spaces
A coordinate system on a given affine space \((P,V,+)\) consists of an origin point in \(P\) and a vector space basis for \(V\).
A polynomial map between two affine spaces with chosen coordinate systems ...
Polynomial map definition is independent of chosen affine space basis.
Polynomial map (for any basis)
Affine maps are polynomial of degree 1.
2 Blossoming principle
Multiaffine map
Symmetric map
Blossoming principle