Equivalence classes for the mu-coefficient of Kazhdan-Lusztig polynomials in Sn
Abstract
We study equivalence classes relating to the Kazhdan-Lusztig mu(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 mu(x,w) for the permutation groups S10 and S11.
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