This list makes me happy; not so much the specific examples on it (some of which seem a little dubious), but just the fact that such a list exists. It helps me get through those depressing moments when I fear that the only useful Fourier transforms are over abelian groups. And I like the idea of working to add quantum information theory to the list.
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This list has almost the opposite effect on me because it reminds me that the only thing I sort of understand in the world is representation theory.
But I like the list. It reminds me that I need to start adding chapters to my book on representation theory and quantum information science.
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