Off-campus UNL users: To download campus access dissertations, please use the following link to log into our proxy server with your NU ID and password. When you are done browsing please remember to return to this page and log out.
Non-UNL users: Please talk to your librarian about requesting this dissertation through interlibrary loan.
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 for uniform matroids, our formula has a nice combinatorial interpretation.
Nasr, George David, "A Combinatorial Formula for Kazhdan-Lusztig Polynomials of Sparse Paving Matroids" (2021). ETD collection for University of Nebraska - Lincoln. AAI28712831.