# Template:Higher-dimensional representation facts to check against

From Groupprops

The table below describes an irreducible representation of the group of degree more than one. The matrices for the representation are not uniquely determined -- we can choose alternative matrix descriptions by conjugating all matrices by a common matrix. The characteristic polynomial, minimal polynomial, trace (character), determinant, and eigenvalues for the matrices are, however, uniquely determined, since these are invariant under matrix conjugation.