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Identifier
Values
=>
Cc0022;cc-rep
['A',1]=>2 ['A',2]=>5 ['B',2]=>7 ['G',2]=>11 ['A',3]=>14 ['B',3]=>24 ['C',3]=>24 ['A',4]=>42 ['B',4]=>83 ['C',4]=>83 ['D',4]=>48 ['F',4]=>106 ['A',5]=>132 ['B',5]=>293 ['C',5]=>293 ['D',5]=>167 ['A',6]=>429 ['B',6]=>1055 ['C',6]=>1055 ['D',6]=>593 ['E',6]=>662 ['A',7]=>1430 ['B',7]=>3860 ['C',7]=>3860 ['D',7]=>2144 ['E',7]=>2670 ['A',8]=>4862 ['B',8]=>14299 ['C',8]=>14299 ['D',8]=>7864 ['E',8]=>10846
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Description
The number of fully commutative elements of the Weyl group of the given Cartan type.
An element $w$ of a Weyl group is fully commutative if any reduced expression for $w$ can be obtained
from any other one by using only commutation relations.
Code
def statistic(ct):
    return WeylGroup(ct).fully_commutative_elements().cardinality()
Created
Dec 16, 2020 at 19:35 by Martin Rubey
Updated
Dec 16, 2020 at 19:35 by Martin Rubey