Mathematics – Representation Theory
Scientific paper
2011-08-16
Mathematics
Representation Theory
Scientific paper
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 $1 \leq i \leq m$.
Erdmann Karin
Lim Kay Jin
Tan Kai Meng
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