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Feb 20, 2013 at 2:02 comment added Paul Pearson The Lambda ring structure is enough to show that R(D_4) is different from R(Q) via Adams operations built from the Lambda ring structure.
Jan 10, 2010 at 22:09 history edited David E Speyer CC BY-SA 2.5
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Jan 10, 2010 at 21:46 comment added David E Speyer Qiaochu's question about Lambda rings is answered below by Mariano; the answer is no.
Jan 10, 2010 at 20:58 comment added Kevin Buzzard Thanks David. I knew from the Tannakian formalism that "something like this had to be true", but seeing the explicit example is really great. I feel like I should steal from your answer and Theo's answer to make my answer "even better" with edits, but on the other hand I could just save myself a job and do nothing because your answers won't go away. I think this is great: it seems to me that we now have completely concrete illustrations of how the categories are similar and how they differ in this case.
Jan 10, 2010 at 16:54 comment added David E Speyer I was wondering that myself! I don't know.
Jan 10, 2010 at 16:38 comment added Qiaochu Yuan Interesting. Out of curiosity, is the structure of R(G) as a lambda-ring enough to distinguish finite groups?
Jan 10, 2010 at 16:35 history answered David E Speyer CC BY-SA 2.5