User:Drorbn/06-1350-HW4: Difference between revisions

From Drorbn
Jump to navigationJump to search
No edit summary
No edit summary
Line 1: Line 1:
===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
|
|
|
|
|
|
|-
|<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 [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