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- Equivariant_map abstract "In mathematics, an equivariant map is a function between two sets that commutes with the action of a group. Specifically, let G be a group and let X and Y be two associated G-sets. A function f : X → Y is said to be equivariant iff(g·x) = g·f(x)for all g ∈ G and all x in X. Note that if one or both of the actions are right actions the equivariance condition must be suitably modified:f(x·g) = f(x)·g ; (right-right)f(x·g) = g−1·f(x) ; (right-left)f(g·x) = f(x)·g−1 ; (left-right)Equivariant maps are homomorphisms in the category of G-sets (for a fixed G). Hence they are also known as G-maps or G-homomorphisms. Isomorphisms of G-sets are simply bijective equivariant maps.The equivariance condition can also be understood as the following commutative diagram. Note that denotes the map that takes an element and returns .".
- Equivariant_map thumbnail Equivariant_commutative_diagram.png?width=300.
- Equivariant_map wikiPageID "422711".
- Equivariant_map wikiPageRevisionID "542513698".
- Equivariant_map hasPhotoCollection Equivariant_map.
- Equivariant_map subject Category:Group_actions.
- Equivariant_map subject Category:Representation_theory.
- Equivariant_map type Abstraction100002137.
- Equivariant_map type Act100030358.
- Equivariant_map type Event100029378.
- Equivariant_map type GroupAction101080366.
- Equivariant_map type GroupActions.
- Equivariant_map type PsychologicalFeature100023100.
- Equivariant_map type YagoPermanentlyLocatedEntity.
- Equivariant_map comment "In mathematics, an equivariant map is a function between two sets that commutes with the action of a group. Specifically, let G be a group and let X and Y be two associated G-sets. A function f : X → Y is said to be equivariant iff(g·x) = g·f(x)for all g ∈ G and all x in X.".
- Equivariant_map label "Aplicação equivariante".
- Equivariant_map label "Equivariant map".
- Equivariant_map label "Äquivariante Abbildung".
- Equivariant_map label "等变映射".
- Equivariant_map sameAs Äquivariante_Abbildung.
- Equivariant_map sameAs Aplicação_equivariante.
- Equivariant_map sameAs m.026n6y.
- Equivariant_map sameAs Q256355.
- Equivariant_map sameAs Q256355.
- Equivariant_map sameAs Equivariant_map.
- Equivariant_map wasDerivedFrom Equivariant_map?oldid=542513698.
- Equivariant_map depiction Equivariant_commutative_diagram.png.
- Equivariant_map isPrimaryTopicOf Equivariant_map.
