Timeline for Are the elements of a division algebra which commute with all commutators in the center of the algebra?
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Apr 13, 2017 at 12:19 | history | edited | CommunityBot |
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Jun 4, 2013 at 0:48 | history | edited | yanyu | CC BY-SA 3.0 |
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Jun 3, 2013 at 14:44 | history | edited | Name |
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Jun 3, 2013 at 6:22 | comment | added | user30180 | Hmm, the proof of the lemma in that paper seems to suggest Ancohea assumes the division algebra is finite-dimensional over the center, but this is never clearly stated earlier in the paper. How about the following 1-sentence proof: the commutators over $k$ span the space of commutators over $\overline{k}$, so it suffices to treat the case of a matrix algebra, which you can treat by bare hands. QED | |
Jun 3, 2013 at 5:56 | answer | added | Name | timeline score: 3 | |
Jun 3, 2013 at 4:43 | comment | added | yanyu | This is a lemma in Ancohea's paper jstor.org/discover/10.2307/…. I can not understand the proof. | |
Jun 3, 2013 at 3:05 | history | asked | yanyu | CC BY-SA 3.0 |