equivariant map

Definition

Given group actions of on and acting on , and equivariant map is a map with the property

Relations to topics

• Note that an equivariant map defines a morphism between two G-sets.

• todo Add stuff about representations here later…

• An equivariant map between two smooth manifolds equipped with Lie group actions (with an extra transitive condition) has constant rank by the equivariant rank theorem.