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  Decomposing a Permutation into a Conjugated Tensor Product

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by Sebastian Egner, Markus Puschel, Thomas Beth
http://avalon.ira.uka.de/home/egner/papers/part.ps.gz
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Abstract:

The problem of decomposing a single permutation into a conjugated tensor product of smaller permutations is solved. In general, the decomposition is not uniquely determined. An algorithm is presented which enumerates all solutions. In particular, it is possible to decide considerably fast if a permutation is tensor-indecomposable. 1

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