Equality of symmetrized tensors and the coordinate ring of the flag variety

Details Equality of symmetrized tensors and the coordinate ring of the flag variety Equality of symmetrized tensors and the coordinate ring of the flag variety

2010-05-20

arxiv.org/abs/1005.3585v1

Mathematics

Combinatorics

5 pages

Scientific paper

10.1016/j.laa.2011.03.036

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.

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