Notes for AKT-091008-2/0:21:16
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PBW theorem: Choose an ordered basis [math]\displaystyle{ x_1, \cdots, x_n }[/math] of [math]\displaystyle{ \mathcal{G} }[/math], then [math]\displaystyle{ U(\mathcal{G}) }[/math] is the vector space with basis being all monotone non-decreasing words in [math]\displaystyle{ x_1, \cdots, x_n }[/math]
