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Title: A Combinatorial Formula for Kazhdan-Lusztig Polynomials of Sparse Paving Matroids
We present a combinatorial formula using skew Young tableaux for the coefficients of Kazhdan-Lusztig polynomials for sparse paving matroids. These matroids are known to be logarithmically almost all matroids, but are conjectured to be almost all matroids. We also show the positivity of these coefficients using our formula. In special cases, such as uniform matroids, our formula has a nice combinatorial interpretation.  more » « less
Award ID(s):
2042786
NSF-PAR ID:
10328087
Author(s) / Creator(s):
; ;
Date Published:
Journal Name:
The Electronic Journal of Combinatorics
Volume:
28
Issue:
4
ISSN:
1077-8926
Format(s):
Medium: X
Sponsoring Org:
National Science Foundation
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