Linear Algebra and Group Theory for Physicists pp 123-149 | Cite as

# Elements of Representation Theory

Chapter

## Abstract

Let .

*G*be a group. A group*D*of square matrices of order*n*which is homomorphic to*G*is said to provide an*n*-dimensional*linear representation*or a*matrix representation*of*G*. One usually calls it simply a*representation*of*G*. Thus, if*g*_{1}→*A*_{g1},*g*_{2}→*A*_{g2}under the mapping where*g*_{1},*g*_{2}∈*G*and*A*_{g1}*A*_{g2}∈*D*, we demand that$${g_1}{g_2} \to {A_{g1}}{A_{g2}}$$

(4.1.1)

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## References

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