Group action ↩

Metadata

aliases: []
shorthands: {}
created: 2021-12-17 18:07:38
modified: 2022-01-10 04:13:04

is a group,

is any set.
We call the

function a group action if and only if for every

and for every

and

With the short notation (implied and ):

This notion captures the of the group elements acting on the elements of a set, or even: acting on a physical system whose state is represented by elements of set .