The largest coefficient in a Kazhdan Lusztig polynomial of the Weyl group of given type.
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)
Apr 19, 2018 at 00:00 by Martin Rubey
Apr 19, 2018 at 09:07 by Martin Rubey
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