The Log-Concavity of Kazhdan-Lusztig Polynomials of Uniform Matroids  

作　　者：XIE Matthew H Y ZHANG Philip B 

机构地区：[1]College of Science,Tianjin University of Technology,Tianjin 300384,China [2]College of Mathematical Science,Tianjin Normal University,Tianjin 300387,China

出　　处：《Journal of Systems Science & Complexity》2023年第1期117-128,共12页系统科学与复杂性学报（英文版）

基　　金：supported by the National Natural Science Foundation of China under Grant Nos.11901431 and 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.

关 键 词：HolonomicFunctions Kazhdan-Lusztig polynomial LOG-CONCAVITY uniform matroid 

分 类 号：O152[理学—数学]