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arXiv:1010.3961 [math.CO]AbstractReferencesReviewsResources

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

Gregory S. Warrington

Published 2010-10-19Version 1

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.

Comments: 13 pages, 6 figures
Categories: math.CO, math.RT
Subjects: 05E10, 20F55
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