Notes for AKT-090929/0:18:15

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Dimensions of [math]\displaystyle{ \mathcal{A}_m }[/math], [math]\displaystyle{ \mathcal{A}_m^r }[/math] and [math]\displaystyle{ \mathcal{P}_m }[/math]

[math]\displaystyle{ \dim(\mathcal{A}_m^r)=\dim(\mathcal{A}_m)-\dim(\mathcal{A}_{m-1}) }[/math]

[math]\displaystyle{ \dim(\mathcal{P}_m)= \dim(\mathcal{A}_m) - |\{ \mbox{degree m products of lower degree primitive elements} \} | }[/math]