Monomial representation

In mathematics, a linear representation ρ of a group G is a monomial representation if there is a finite-index subgroup H and a one-dimensional linear representation σ of H, such that ρ is equivalent to the induced representation IndHGσ. Alternatively, one may define it as a representation whose image is in the monomial matrices.

Monomial representation

In mathematics, a linear representation ρ of a group G is a monomial representation if there is a finite-index subgroup H and a one-dimensional linear representation σ of H, such that ρ is equivalent to the induced representation IndHGσ. Alternatively, one may define it as a representation whose image is in the monomial matrices.