%0 Journal Article %T Equality of symmetrized tensors and the coordinate ring of the flag variety %A Andrew Berget %J Mathematics %D 2010 %I arXiv %R 10.1016/j.laa.2011.03.036 %X In this note we give a transparent proof of a result of da Cruz and Dias da Silva on the equality of symmetrized decomposable tensors. This will be done by explaining that their result follows from the fact that the coordinate ring of a flag variety is a unique factorization domain. %U http://arxiv.org/abs/1005.3585v1