Given the generators $X_{a}$ (with $a=1, ldots, N$ ) of a Lie algebra, prove that the second-order

Question:

Given the generators $X_{a}$ (with $a=1, \ldots, N$ ) of a Lie algebra, prove that the second-order Casimir operator $C^{(2)}=\sum_{a=1}^{N} X_{a} X_{a}$ commutes with all the generators.

Fantastic news! We've Found the answer you've been seeking!

Step by Step Answer:

Related Book For  book-img-for-question
Question Posted: