Group Theory 3.5 Orthonormality and Completeness Relations of Irreducible Representation Matrices

As we have said, for the mathematical simplicity, we will focus on irreducible representation. We also found that most of the representation is equivalent to a unitary representation. Based on Schur’s Lemmas, we will encounter the central results of group representation theory, which related the inequivalent irreducible representations together, although I still don’t know what’s […]

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Group Theory 3.1 Representation

Gist Representation is just a homomorphism mapping (1)   where is an operator on linear vector space , such that (2)   Dimension of the representation: is the dimension of the vector space . Faithful: If the homomorphism is also an isomorphism. Degenerate representation: The one which is not Faithful. Matrix Representation: is the case […]

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