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Question on tensor notation in group theory

by BWV
Tags: notation, tensor, theory
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BWV
#1
Apr10-12, 10:25 AM
P: 328
in the appendix on Group Theory in Zee's book there is a discussion of commutations for SO(3)

two questions

- does [[itex]J^{ij},J^{lk}] = J^{ij}*J^{lk}-J^{lk}*J^{ij}[/itex]?

and there is an expression in the appendix that the commutator equals i([itex]\delta^{ik}J^{jl} ...[/itex]

i don't understand the why you are multiplying the matrix by the kronecker delta with different upstairs indexes, is not it simply an identity?
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BWV
#2
May17-12, 01:50 PM
P: 328
bumping this - this apparantly is some notation I don't understand, the Wiki entry on Special Unitary groups has this as well



I don't get the significance of the kronecker deltas with the different indexes


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