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Identifier
Values
=>
Cc0022;cc-rep
['A',1]=>1 ['A',2]=>2 ['B',2]=>2 ['G',2]=>2 ['A',3]=>6 ['B',3]=>8 ['C',3]=>8 ['A',4]=>20 ['B',4]=>48 ['C',4]=>48 ['D',4]=>32 ['F',4]=>96 ['A',5]=>240 ['B',5]=>320 ['C',5]=>320 ['D',5]=>160 ['A',6]=>420 ['B',6]=>7680 ['C',6]=>7680 ['D',6]=>1920 ['E',6]=>8640 ['A',7]=>2688 ['B',7]=>26880 ['C',7]=>26880 ['D',7]=>13440 ['E',7]=>96768 ['A',8]=>18144 ['B',8]=>516096 ['C',8]=>516096 ['D',8]=>172032
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Description
The number of elements of maximal order in the Weyl group of a finite Cartan type.
For the symmetric group $\mathfrak S_n$ this is OEIS:A074859.
Code
def statistic(ct):
    l = [pi.order() for pi in WeylGroup(ct, implementation="permutation")]
    m = max(l)
    return sum(Integer(1) for e in l if e == m)
Created
Dec 12, 2021 at 21:05 by Martin Rubey
Updated
Dec 12, 2021 at 21:05 by Martin Rubey