mma's latest activity
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Mmma replied to the thread Graduate The colorful world of ##2\times 2## complex matrices.Perhaps this is not important either, but another interesting fact for me is the multiplication table of the members of the...
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Mmma replied to the thread Graduate The colorful world of ##2\times 2## complex matrices.Of course, it isn't a direct sum. Direct sum applies only above the main diagonal. Below it, the objects originate from the green arrow.
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Mmma replied to the thread Graduate The colorful world of ##2\times 2## complex matrices.Yes, it is a sphere in the vector space ##\mathbb H##. At the ends of the green arrows are spheres in the vector space at the beginning...
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Mmma replied to the thread Graduate The colorful world of ##2\times 2## complex matrices.Oh, yes, I consider them as real vector spaces. So, ##su(2)\neq isu(2).##
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Mmma replied to the thread Graduate The colorful world of ##2\times 2## complex matrices.I regard them as elements of the (additive) vector space of 2 by 2 matrices.
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Mmma replied to the thread Graduate The colorful world of ##2\times 2## complex matrices.I think, elements of ##su(2)## are the traceless anti-Hermitian matrices while elements of ##isu(2)## are traceless, Hermitian ones, so...
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Mmma replied to the thread Graduate The colorful world of ##2\times 2## complex matrices.All the other objects in the picture have their own names, designations, and significance somewhere. I wonder if this one does too, or...
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Mmma replied to the thread Graduate The colorful world of ##2\times 2## complex matrices.One more question. This is the structure of the set of 2 by 2 complex matrices: Here, the only non-standard symbol is ##\mathfrak...
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