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equivariant (Definition)

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$.



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Cross-references: map, homogeneous spaces, right, group
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This is version 1 of equivariant, born on 2003-09-07.
Object id is 4709, canonical name is Equivariant.
Accessed 2589 times total.

Classification:
AMS MSC20A05 (Group theory and generalizations :: Foundations :: Axiomatics and elementary properties)

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