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Matrix representations of groups

  • William Martin McClainEmail author
Chapter

We have worked extensively with groups of Cartesian transform matrices that multiply exactly like a corresponding abstract group, and you may have the impression that these are the only matrices that can represent the group. This is far from the truth. The Cartesian representation (technically, “the representation based on {x, y, z}”) is only one among an infinite possible number of representations. In this chapter we will develop the concept of matrix representation in its full generality.

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Copyright information

© Springer Science+Business Media, LLC 2009

Authors and Affiliations

  1. 1.Department of ChemistryWayne State UniversityDetroitUSA

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