I'm studying Lie groups using G. 't Hooft's tutorial:(adsbygoogle = window.adsbygoogle || []).push({});

http://www.phys.uu.nl/~thooft/lectures/lieg.html

In page 34, he introduces superscript and subscript indices starting from equation 6.27:

[tex]

\phi_{\alpha} \rightarrow \phi_{\alpha}' = X_{\beta}^{\alpha}\phi^{\beta}

[/tex]

What is the meaning of the X operator receiving both indices?

P.S.: Please take into consideration that I am a self teaching student :)

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# SU(2) index convention

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