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S Feb 28, 2015 at 10:40 history suggested Exterior CC BY-SA 3.0
added TeX to answer
Feb 28, 2015 at 10:32 review Suggested edits
S Feb 28, 2015 at 10:40
Oct 29, 2009 at 12:27 comment added Tyler Lawson You are right, this "symmetric elements" functor preserves surjections but not coequalizers, but I think the functor I want is its 0'th left (nonabelian) derived functor.
Oct 28, 2009 at 16:36 comment added Charles Rezk The functor on abelian groups A |-> (symmetric elements in A tensor A) is not right exact, and has a 0-th right derived functor &Gamma;<sup>2</sup>. This functor is also the "2nd divided square" construction. Is &Gamma;<sup>2</sup> G<sub>ab</sub> the closed form you want?
Oct 28, 2009 at 12:36 history edited Tyler Lawson CC BY-SA 2.5
correction again, was screwed up between symmetric elements in the tensor square and bilinear pairings
Oct 24, 2009 at 1:39 vote accept Skye
Oct 23, 2009 at 18:20 history edited Tyler Lawson CC BY-SA 2.5
corrected universal bilinear form vs set of bilinear pairings.
Oct 23, 2009 at 17:34 history edited Tyler Lawson CC BY-SA 2.5
state exact sequence precisely.
Oct 23, 2009 at 17:07 history answered Tyler Lawson CC BY-SA 2.5