equivariant

Let $G$ be a group, and $X$ and $Y$ left (resp. right) homogeneous spaces of $G$. Then a map $f:X\to Y$ is called equivariant if $g(f(x))=f(gx)$ (resp. $(f(x))g=f(xg)$) for all $g\in G$.

Title	equivariant
Canonical name	Equivariant
Date of creation	2013-03-22 13:56:45
Last modified on	2013-03-22 13:56:45
Owner	bwebste (988)
Last modified by	bwebste (988)
Numerical id	4
Author	bwebste (988)
Entry type	Definition
Classification	msc 20A05