For years I was working in geometry and during this time I developed tool to answer some questions. This is representation theory. I used this tool mainly to learn linear algebra, however this tool can be applied in different areas of math and physics. To attract other researchers to new tool, I need to show you how this tool works in your area. So my questions is if you have some problems related to using symmetry or algebra of transformations. I do not think that I have answer in short time, but on the long run it may give new direction of research.
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