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Matching statistic: St001944
Mapping
St001944: Finite Cartan types ⟶ ℤResult quality: 100% ●values known / values provided: 100%●distinct values known / distinct values provided: 100%
Values
['A',1]
 => 4
['A',2]
 => 8
['B',2]
 => 22
['G',2]
 => 32
['A',3]
 => 21
['B',3]
 => 84
['C',3]
 => 84
['A',4]
 => 39
['B',4]
 => 325
['C',4]
 => 325
['D',4]
 => 146
['F',4]
 => 441
['A',5]
 => 92
['B',5]
 => 1096
['C',5]
 => 1096
['D',5]
 => 274
['A',6]
 => 170
['B',6]
 => 3632
['C',6]
 => 3632
['D',6]
 => 1216
['E',6]
 => 448
Description
The number conjugacy classes of pairs of commuting elements in the Weyl group of given Cartan type. For any finite group G, this statistic is the cardinality of the set {c(a1,a2) | a1,a2∈G with a1a2=a2a1}, where c(a1,a2)={(ga1g−1,ga2g−1) | g∈G}.