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===The Generators===
===The Generators===


Our generators are <math>T</math>, <math>R</math>, <math>Y=\Phi</math> and <math>B^{\pm}</math>.
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
{| align=center cellspacing=0 border=1

|-
(You might consider splitting Y into two, Y and
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|<math>T</math>
|<math>R</math>
|<math>Y^{up}</math>
|<math>Y^{dn}</math>
|<math>B^+</math>
|<math>B^-</math>
|}


===The Relations===
===The Relations===

Revision as of 12:42, 18 November 2006

The Generators

Our generators are , , and . (You might consider splitting into two, and ). In pictures, they are

The Relations

The Syzygies

A Mathematica Verification