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arXiv · 1108.3128

The complexity of the Lie module

Karin Erdmann·Kay Jin Lim·Kai Meng Tan
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Abstract

We show that the complexity of the Lie module $\mathrm{Lie}(n)$ in characteristic $p$ is bounded above by $m$ where $p^m$ is the largest $p$-power dividing $n$ and, if $n$ is not a $p$-power, is equal to the maximum of the complexities of $\Lie(p^i)$ for $1 \leq i \leq m$.

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Karin Erdmann, Kay Jin Lim, Kai Meng Tan. 2011-08-16. The complexity of the Lie module. https://arxiv.org/abs/1108.3128

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