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Groupprops β

Template:Higher-dimensional representation facts to check against

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.