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Benedict Irwin edited Stable Number Operator.tex
almost 10 years ago
Commit id: 5a90390ac2064d4178f4a10203eff51fc14e363f
deletions | additions
diff --git a/Stable Number Operator.tex b/Stable Number Operator.tex
index 09bc419..1827acd 100644
--- a/Stable Number Operator.tex
+++ b/Stable Number Operator.tex
...
TERNARY COMMUTATOR?
[a,b,c]=abc-acb-bac+bca+cab-cba
\begin{equation}
\begin{array}{| c | c |}
\hline
combin. & coeff \\
\hline
bgr^+ & \alpha \\
br^+g & \sqrt[3]{\alpha}\sqrt[3]{\alpha-\frac{1}{3}}\sqrt[3]{\alpha-\frac{2}{3}} \\
gbr^+ & \sqrt[3]{\alpha}\sqrt[3]{\alpha+frac{1}{3}}\sqrt[3]{\alpha-\frac{1}{3}} \\
gr^+b & \alpha -\frac{1}{3} \\
r^+bg & \alpha -\frac{2}{3} \\
r^+gb & \sqrt[3]{\alpha-1}\sqrt[3]{\alpha-\frac{1}{3}}\sqrt[3]{\alpha-\frac{2}{3}} \\
\hline
\end{array}
\end{equation}