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I was reading about the group representation, but couldn't really why is it important or interesting.

Can you someone explain about some of the important mathematical applications (not from physics, possibly from algebra or number theory) of group representation or why is it interesting at all?

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    It might help if you were more specific. What areas of math would you like applications in? For example, in finite group theory, two very nice results that were proved using representation theory are Burnside's pq-theorem and the Frobenus theorem, and that last one has still not been proven directly.2011-10-06
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    possible duplicate: http://math.stackexchange.com/questions/622/importance-of-representation-theory (Although that one is tagged as physics, even if it still delves into mathematics a bit.)2011-10-06
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    When you work with a group in practice, you always work with a representation, be it the standard model of particles, a Rubik's cube, a crystal structure,...2011-10-06
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    The applications in physics and chemistry-without which we wouldn't have precise quantum mechanical formulations of molecular geometry-these aren't important enough for you?2012-10-05

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