edit this statistic or download as text // json
Identifier
Values
=>
Cc0022;cc-rep
['A',1]=>1 ['A',2]=>1 ['B',2]=>1 ['G',2]=>1 ['A',3]=>1 ['B',3]=>1 ['C',3]=>1 ['A',4]=>2 ['B',4]=>5 ['C',4]=>5 ['D',4]=>4 ['F',4]=>12 ['A',5]=>4
search for individual values
searching the database for the individual values of this statistic
/ search for generating function
searching the database for statistics with the same generating function
click to show known generating functions       
Description
The largest coefficient in a Kazhdan Lusztig polynomial of the Weyl group of given type.
Code
def statistic(C):
    W = CoxeterGroup(C, implementation='coxeter3')
    r = set([])
    for u in W:
        U = (W(v) for v in W.bruhat_interval(u, W.long_element()))
        next(U)
        for v in U:
            p = W.kazhdan_lusztig_polynomial(u, v)
            c = set(p.coefficients())
            r = r.union(c)
    return max(r)
Created
Apr 19, 2018 at 00:00 by Martin Rubey
Updated
Apr 19, 2018 at 09:07 by Martin Rubey