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Matching statistic: St001149
Mapping
St001149: Finite Cartan types ⟶ ℤResult quality: 100% ●values known / values provided: 100%●distinct values known / distinct values provided: 100%
Values
['A',1]
 => 3
['A',2]
 => 8
['B',2]
 => 5
['G',2]
 => 7
['A',3]
 => 15
['B',3]
 => 7
['C',3]
 => 14
['A',4]
 => 24
['B',4]
 => 9
['C',4]
 => 27
['D',4]
 => 28
['F',4]
 => 26
['A',5]
 => 35
['B',5]
 => 11
['C',5]
 => 44
['D',5]
 => 45
['A',6]
 => 48
['B',6]
 => 13
['C',6]
 => 65
['D',6]
 => 66
['E',6]
 => 78
['A',7]
 => 63
['B',7]
 => 15
['C',7]
 => 90
['D',7]
 => 91
['E',7]
 => 133
['A',8]
 => 80
['B',8]
 => 17
['C',8]
 => 119
['D',8]
 => 120
['E',8]
 => 248
Description
The dimension of the quasi-minuscule representation of the Lie group of given type. For every simple type there is a unique quasi-minuscule representation, and the unique dominant short root is its highest weight, see [2].