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Matching statistic: St001143
Mapping
St001143: Finite Cartan types ⟶ ℤResult quality: 100% ●values known / values provided: 100%●distinct values known / distinct values provided: 100%
Values
['A',1]
 => 1
['A',2]
 => 8
['B',2]
 => 12
['G',2]
 => 20
['A',3]
 => 60
['B',3]
 => 152
['C',3]
 => 152
['A',4]
 => 482
['B',4]
 => 2148
['C',4]
 => 2148
['D',4]
 => 892
['F',4]
 => 8920
['A',5]
 => 4268
['B',5]
 => 35070
['C',5]
 => 35070
['D',5]
 => 14874
['A',6]
 => 41934
['B',6]
 => 679152
['C',6]
 => 679152
['D',6]
 => 287438
['E',6]
 => 846476
['A',7]
 => 457782
Description
The number of pairs in the Weyl group of given type with mu-coefficient of the Kazhdan Lusztig polynomial being non-zero. The $\mu$-coefficient of the Kazhdan-Lusztig polynomial $P_{u,w}(q)$ is the coefficient of $q^{\frac{l(w)-l(u)-1}{2}}$ in $P_{u,w}(q)$.