
Journal of Lie Theory 22 (2012), No. 3, 869882 Copyright Heldermann Verlag 2012 A CharacteristicFree 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 characteristicfree decomposition of tensor space, regarded as a module for the Brauer centralizer algebra. Keywords: Brauer algebra, tensor powers, permutation modules, SchurWeyl duality. MSC: 16G10, 20B30 [Fulltextpdf (335 KB)] for subscribers only. 