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- W2953184265 abstract "Let Lie(n) be the Lie module of the symmetric group S_n over a field F of characteristic p>0, that is, Lie(n) is the left ideal of FS_n generated by the Dynkin-Specht-Wever element. We study the problem of parametrizing non-projective indecomposable summands of Lie(n), via describing their vertices and sources. Our main result shows that this can be reduced to the case when n is a power of p. When n=9 and p=3, and when n=8 and p=2, we present a precise answer. This suggests a possible parametrization for arbitrary prime powers." @default.
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- W2953184265 date "2013-09-09" @default.
- W2953184265 modified "2023-09-27" @default.
- W2953184265 title "Vertices of Lie Modules" @default.
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