most recent 30 from http://mathoverflow.net 2013-05-24T19:47:26Z http://mathoverflow.net/feeds/user/9206 http://www.creativecommons.org/licenses/by-nc/2.5/rdf http://mathoverflow.net/questions/73885/is-there-a-name-for-this-map-induced-by-bilinear-forms/73904#73904 Ray Ryan 2011-08-28T17:32:03Z 2011-08-28T17:32:03Z

<p>And symmetry of bilinear forms can be encoded in the tensor product: if we define the symmetric tensor product $V\otimes_s V$ to be the subspace of $V \otimes V$ spanned by the "symmetric tensors" $v\otimes_s w = (v\otimes w + w\otimes v)/2$, then there is a canonical bijection between linear forms on $V\otimes_s V$ and symmetric bilinear forms on $V\times V$.</p>