User:Drorbn/06-1350-HW4

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The Generators

Our generators are [math]\displaystyle{ T }[/math], [math]\displaystyle{ R }[/math], [math]\displaystyle{ Y=\Phi }[/math] and [math]\displaystyle{ B^{\pm} }[/math]. (You might consider splitting [math]\displaystyle{ Y }[/math] into two, [math]\displaystyle{ Y^{up} }[/math] and [math]\displaystyle{ Y^{dn} }[/math]). In pictures, they are

[math]\displaystyle{ T }[/math] [math]\displaystyle{ R }[/math] [math]\displaystyle{ Y^{up} }[/math] [math]\displaystyle{ Y^{dn} }[/math] [math]\displaystyle{ B^+ }[/math] [math]\displaystyle{ B^- }[/math]

The Relations

The Syzygies

A Mathematica Verification