The representation of a Group on a Complex Vector Space is a group action of on by linear transformations. Two finite dimensional representations on and on are equivalent if there is an invertible linear map such that for all . is said to be irreducible if it has no proper Nonzero invariant Subspaces.

**References**

Knapp, A. W. ``Group Representations and Harmonic Analysis, Part II.'' *Not. Amer. Math. Soc.* **43**, 537-549, 1996.

© 1996-9

1999-05-25