I've been starting to study some things about representation theory. I've come to the point where they introduced the dual of a representation.(adsbygoogle = window.adsbygoogle || []).push({});

Suppose that [itex]\rho[/itex] is a representation on a vector space V.

They then define the dual representation [itex]\rho^*[/itex] as:

[tex]\rho^*(g) = \rho(g^{-1})^t: V^* \to V^*[/tex]

But the thing is that I don't see why they use [itex]g^{-1}[/itex] in this definition instead of just g?

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# Dual representation

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