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title: Automatic index contraction
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permalink: /Automatic_index_contraction/
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---
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# Automatic index contraction
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[Category:Model](/Category:Model "wikilink")
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General
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... | ... | @@ -23,7 +20,7 @@ The rules to contract indices corresponding to the fundamental (upper) and anti- |
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#### Example
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1. $3 \\times \\bar{3}$ of *S**U*(3):
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1. $`3 \times \bar{3}`$ of *S**U*(3):
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Delta[col1,col2] T[{col1}].Tc[{col2}]
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2. 2 × 2 of *S**U*(2):
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... | ... | @@ -35,7 +32,7 @@ The rules to contract indices corresponding to the fundamental (upper) and anti- |
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4. 2 × 3 × 2 of *S**U*(2):
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Delta[lef1,lef2] epsTensor[lef2b,lef3] Hu[{lef1}].T[{lef2,lef2b}].Hu[{lef3}]
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5. $3 \\times \\bar{3}$ of *S**U*(3) and 2 × 2 of *S**U*(2):
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5. $`3 \times \bar{3}`$ of *S**U*(3) and 2 × 2 of *S**U*(2):
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Delta[col1,col2] epsTensor[lef1,lef3] Q[{lef1,col1}].u[{col2}].Hu[{lef3}]
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### Clebsch-Gordan Coefficients
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