to another (such as symmetric spaces). A function is said to be an equivariant map when its domain and codomain are acted on by the same symmetry group...
12 KB (1,433 words) - 18:58, 8 February 2024
representations. An equivariant map is often called an intertwining map of representations. Also, in the case of a group G, it is on occasion called a G-map. Isomorphic...
55 KB (7,184 words) - 17:41, 8 July 2024
space V with an invariant quaternionic structure, i.e., an antilinear equivariant map j : V → V {\displaystyle j\colon V\to V} which satisfies j 2 = − 1...
5 KB (688 words) - 18:43, 9 February 2022
of the vector bundle, and the projection to Minkowski space is an equivariant map. Therefore, the Poincaré group also acts on the space of sections....
5 KB (584 words) - 13:23, 26 May 2024
vector space V with an invariant real structure, i.e., an antilinear equivariant map j : V → V {\displaystyle j\colon V\to V} which satisfies j 2 = + 1...
4 KB (638 words) - 08:16, 2 October 2023
equivariant maps from this G {\displaystyle G} -set to itself are in bijection with G {\displaystyle G} . But it is easy to see that (1) these maps form...
20 KB (3,362 words) - 13:43, 2 August 2024
f ( g x ) = g f ( x ) {\displaystyle f(gx)=gf(x)} ; i.e., f is an equivariant map. We write F G ( X , Y ) = F ( X , Y ) G {\displaystyle F_{G}(X,Y)=F(X...
2 KB (355 words) - 06:14, 22 October 2022
maps f : X → Y {\displaystyle f:X\to Y} , and while equivariant topology also considers such maps, there is the additional constraint that each map "respects...
6 KB (934 words) - 12:56, 15 May 2023
with equivariant map P → X {\displaystyle P\to X} ; an arrow from P → T {\displaystyle P\to T} to P ′ → T ′ {\displaystyle P'\to T'} is a bundle map (i...
8 KB (1,185 words) - 03:00, 9 February 2024
operation whose result is insensitive to the order of its arguments Equivariant map, a function whose composition with another function has the commutative...
2 KB (278 words) - 13:50, 21 May 2024