[jstoobysmith]

Results related to the adjoint representation of su(n). This is based of the material in #1415.

[github-actions]

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[nateabr]

claim

[github-actions]

Review claim by @nateabr completed — thanks for the review.

[nateabr]

@jstoobysmith is this ready to review?

awaiting-author

[jstoobysmith]

@nateabr yep, this is now ready :)

[jstoobysmith]

-awaiting-author

[nateabr]

Have added some comments

[nateabr]

Maybe this proof should be split into two steps. What we can do is extract the matrix trace part and then prove the hK as a lemma and the current inverse factor can be a corollary.

The killing form proof would read better if it's just the application to the lie algebra

[jstoobysmith]

I think I have done this, although am not 100% sure what you mean here.

[nateabr]

Poor comment from me :(

You have addressed my comment though. I had also asked additionally to maybe extract computing the trace of the operator M ↦ −[A, [B, M]] on all matrices, before using that A and B are traceless.

Though this is not needed as the equivTraceKer makes everything very clear

[nateabr]

awaiting-author

[jstoobysmith]

@nateabr addressed comments

-awaiting-author

[nateabr]

Happy with the changes. Approved

[nateabr]

Poor comment from me :(

You have addressed my comment though. I had also asked additionally to maybe extract computing the trace of the operator M ↦ −[A, [B, M]] on all matrices, before using that A and B are traceless.

Though this is not needed as the equivTraceKer makes everything very clear