Equivalence classes for the mu-coefficient of Kazhdan-Lusztig polynomials in S_n


الملخص بالإنكليزية

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 S_10 and S_11.

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