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Our generators are <math>T</math>, <math>R</math>, <math>Y=\Phi</math> and <math>B^{\pm}</math>. (You might consider splitting <math>Y</math> into two, <math>Y^{up}</math> and <math>Y^{dn}</math>). In pictures, they are
Our generators are <math>T</math>, <math>R</math>, <math>Y=\Phi</math> and <math>B^{\pm}</math>. (You might consider splitting <math>Y</math> into two, <math>Y^{up}</math> and <math>Y^{dn}</math>). In pictures, they are
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Revision as of 13:03, 18 November 2006

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

06-1350-BPlus.svg
[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