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

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

2010-10-19

arxiv.org/abs/1010.3961v1

Mathematics

Combinatorics

13 pages, 6 figures

Scientific paper

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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