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Partition abbrev. notation Young diagram

3 = 3 [ 3 ]

3 = 2 + 1 [ 2 , 1 ]

3 = 1 + 1 + 1 [ 1 , 1 , 1] = [ 1 ]

Standard - Tableaux for N = 3

1 2 3

2

3

1 3

2

1

3

2

1

[ 3 ]

[ 1 , 1 , 1 ]

[ 2 , 1 ]

3

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Standard - Tableaux for N = 4

1 2 3 4

1 2 3 1 2 4 1 3 4

4 3 2

1 2

3 4

1 3

2 4

1 2

3

4

1 3

2

4

1 4

2

3

1

2

3

4

[ 4 ]

[ 3 1 ]

[ 2 2 ]

[ 2 1 1 ]

[ 1 1 1 1 ]

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