Semilinear representations of G over L with finite L/L^G correspond to linear representations of the kernel H of G to Aut(L), giving a character theory for finite G in char 0.
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Character Theory for Semilinear Representations
Semilinear representations of G over L with finite L/L^G correspond to linear representations of the kernel H of G to Aut(L), giving a character theory for finite G in char 0.