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- W2913500864 abstract "In a recent paper, [14], S. Doty and J. M. Douglass consider the degree r component Lr(E) of the free Lie algebra L(E) on an n-dimensional vector space E over a suitable field k, of characteristic not dividing r. The authors discuss, amongst other things, the question of when this space, regarded as a module for the general linear group of degree n (equivalently the Schur algebra S(n,r)) has the double centraliser property. Some general classes are described but the question in general is left open. Here we show that at most one block component of Lr(E) can fail to have the double centraliser property and give some examples of the failure of the property for that block (and therefore for the Lie module)." @default.
- W2913500864 created "2019-02-21" @default.
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- W2913500864 date "2019-05-01" @default.
- W2913500864 modified "2023-09-28" @default.
- W2913500864 title "Some remarks on tilting modules, double centralisers and Lie modules" @default.
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- W2913500864 doi "https://doi.org/10.1016/j.jalgebra.2019.01.030" @default.
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