Journal of Lie Theory 22 (2012), No. 3, 869--882
Copyright Heldermann Verlag 2012
A Characteristic-Free Decomposition of Tensor Space as a Brauer Algebra Module
Stephen R. Doty
Dept. of Mathematics and Statistics, Loyola University, Chicago, IL 60626, U.S.A.
doty@math.luc.edu
We obtain a characteristic-free decomposition of tensor space, regarded as a module for the Brauer centralizer algebra.
Keywords: Brauer algebra, tensor powers, permutation modules, Schur-Weyl duality.
MSC: 16G10, 20B30
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