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The systematic study of group representations, which describe abstract groups in terms of linear transformations of vector spaces, such that group elements or their generators are represented as matrices, reducing group-theoretic problems to linear-algebraic ones.

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Help with finding the understanding generalized raising/lowering operators

I'm working on the following problem: If $| \mu \rangle$ is the state of the highest weight, that is $\mu = \mu_1 + \mu_2$ of the adjoint representation of $SU(3)$, show that the states: $$ |A\rangle …
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