If G is a group of finite order and elements of G acts on a finite dim vector space V as isomorphisms, is it true that |G|dimV^{G}= [/sum_g]Tr(g)? where V^{G}={v\in V: g.v=v for all g\in G}
Thanks a lot!
If G is a group of finite order and elements of G acts on a finite dim vector space V as isomorphisms, is it true that |G|dimV^{G}= [/sum_g]Tr(g)? where V^{G}={v\in V: g.v=v for all g\in G}
Thanks a lot!