 Dual representation

For a representation on $V$, the dual action on $V^{\ast }$ is $(g\phi )(v)=\phi (g^{-1}v)$.

Dual representation refers to the ability to understand and represent the same information in different ways or formats. This concept is often discussed in various fields, including psychology, education, and cognitive science, particularly in relation to learning and comprehension. In the context of cognitive development, particularly in children, dual representation is exemplified by the ability to understand that a model or symbol (such as a map or a scale model) can represent something else in the real world.