ABSTRACT
By Maschke’s theorem (12.10), every complex representation of a finite group G is completely reducible. If T is any complex representation of G and if χ is the character associated with T, then T is equivalent to a representation of the form: [ T 1 ( g ) T 2 ( g ) 0 ⋱ 0 T r ( g ) ] https://s3-euw1-ap-pe-df-pch-content-public-p.s3.eu-west-1.amazonaws.com/9780203719695/427c6cb8-4a8d-4df9-bf17-90e17936899a/content/eq370.tif"/>
