In the mathematical fields of representation theory and group theory, a linear representation (rho) of a group is a monomial representation if there is a finite-index subgroup is equivalent to the induced representation.

Alternatively, one may define it as a representation whose image is in the monomial matrices.

may be finite groups, so that induced representation has a classical sense. The monomial representation is only a little more complicated than the permutation representation on the cosets. It is necessary only to keep track of scalars.

Definition

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References