The diagrammatic methods for vector calculus and the diagrammatic methods for group representation theory are two aspects of the same game. Penrose invented these methods for tensor calculus, which combines vector calculus and group rep theory. So Predrag should like both.
I'm merely saying that the Lie bracket tensor, which is 2-covariant and 1-contravariant, ought perhaps to be viewed as the relevant object, if we're talking about cross-products. We can build such a gadget by "raising an index" on epsilon, of course. But why go into all that?
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I don't object to any mathematically valid way of working with these things. I like and use them all. I don't know how this turned into an argument.
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I greatly regret any impression I may have given that I was in argumentative mood. I absolutely was not, and meant simply to ask how you prefer to think, and why. I have generally found this a fruitful question with you, and often been impressed and enlightened by your answers.
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