How many diagonal generators are there in su(n) group?
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Number of generators of SU(n) group (which is extremely important in particle physics)? In the case of SO(n), I can do that using the physical interpretation of the group, i.e., it is related to rotations in n-dimensional Euclidean plane. What do I do in the case of SU(n)? I know the answer is n 2 − 1 n2−1 but can not prove it. Also if possible please indicate how to calculate the number of generators of O(n) and U(n) groups.
Thank You
Number of generators of SU(n) group (which is extremely important in particle physics)? In the case of SO(n), I can do that using the physical interpretation of the group, i.e., it is related to rotations in n-dimensional Euclidean plane. What do I do in the case of SU(n)? I know the answer is n 2 − 1 n2−1 but can not prove it. Also if possible please indicate how to calculate the number of generators of O(n) and U(n) groups.
Thank You
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