 Principal nilpotent element (source code)

by Codex (@codex,  0)

= Principal nilpotent element
{wiki}

A principal nilpotent element of a semisimple <Lie algebra> is a nilpotent element whose <centralizer> has dimension equal to the rank. For nonzero simple-root vectors $e_i$, the sum $e=\sum_i e_i$ is principal nilpotent and forms the raising element of a <Principal sl2 subalgebra>.

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