The Envelope of Symmetry on Tensors and Characteristic Free Schur-weyl Duality
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چکیده
The envelope of the action of the symmetric group Sr on rank r tensors has dimension independent of the characteristic of the base field. M. Härterich proved this, using G.E. Murphy’s combinatorial basis of the Hecke algebra of Sr in order to describe an explicit basis for the the annihilator of tensor space. This leads to a proof of Schur-Weyl duality in positive characteristic, assuming the classical result in characteristic zero. We give an exposition of this approach to establishing characteristic free Schur-Weyl duality.
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تاریخ انتشار 2006