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| The Log-Concavity of Kazhdan-Lusztig Polynomials of Uniform Matroids | |
| 作者姓名： | XIE Matthew H Y ZHANG Philip B |
| 作者单位： | 1. College of Science, Tianjin University of Technology;2. College of Mathematical Science, Tianjin Normal University |
| 基金项目： | supported by the National Natural Science Foundation of China under Grant Nos. 11901431and 12171362； |
| 摘 要： | Elias, et al.(2016) conjectured that the Kazhdan-Lusztig polynomial of any matroid is logconcave. Inspired by a computer proof of Moll’s log-concavity conjecture given by Kauers and Paule,the authors use a computer algebra system to prove the conjecture for arbitrary uniform matroids. |
The Log-Concavity of Kazhdan-Lusztig Polynomials of Uniform Matroids |
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| XIE Matthew H Y,ZHANG Philip B.The Log-Concavity of Kazhdan-Lusztig Polynomials of Uniform Matroids[J].Journal of Systems Science and Complexity,2023,36(1):117-128. | |
| Authors: | Xie Matthew H Y Zhang Philip B |
| Institution: | 1.College of Science, Tianjin University of Technology, Tianjin, 300384, China ;2.College of Mathematical Science, Tianjin Normal University, Tianjin, 300387, China ; |
| Abstract: | Elias, et al. (2016) conjectured that the Kazhdan-Lusztig polynomial of any matroid is log-concave. Inspired by a computer proof of Moll’s log-concavity conjecture given by Kauers and Paule, the authors use a computer algebra system to prove the conjecture for arbitrary uniform matroids. |
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