Abstract
We study equivalence classes relating to the Kazhdan–Lusztig μ(x,w) coefficients in order to help explain the scarcity of distinct values. Each class is conjectured to contain a “crosshatch” pair. We also compute the values attained by μ(x,w) for the permutation groups S10 and S11.
Citation
Gregory S. Warrington. "Equivalence Classes for the μ-Coefficient of Kazhdan–Lusztig Polynomials in Sn." Experiment. Math. 20 (4) 457 - 466, 2011.
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