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math.CO2002
Counterexamples to the 0-1 conjecture
Timothy J. McLarnan, Gregory S. Warrington
For permutations x and w, let mu(x,w) be the coefficient of highest possible degree in the Kazhdan-Lusztig polynomial P_{x,w}. It is well-known that the coefficients mu(x,w) arise…
math.CO2002
Two formulae for inverse Kazhdan-Lusztig polynomials in S_n
Gregory S. Warrington
Let w_0 denote the permutation [n,n-1,...,2,1]. We give two new explicit formulae for the Kazhdan-Lusztig polynomials P_{w_0w,w_0x} in S_n when x is a maximal element in the singul…