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

XIE Matthew H Y, ZHANG Philip B

系统科学与复杂性(英文) ›› 2023, Vol. 36 ›› Issue (1) : 117-128.

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系统科学与复杂性(英文) ›› 2023, Vol. 36 ›› Issue (1) : 117-128. DOI: 10.1007/s11424-022-1296-0

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

    XIE Matthew H Y1, ZHANG Philip B2
作者信息 +

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

    XIE Matthew H Y1, ZHANG Philip B2
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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.

Abstract

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

Key words

HolonomicFunctions / Kazhdan-Lusztig polynomial / log-concavity / uniform matroid

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XIE Matthew H Y , ZHANG Philip B. The Log-Concavity of Kazhdan-Lusztig Polynomials of Uniform Matroids. 系统科学与复杂性(英文), 2023, 36(1): 117-128 https://doi.org/10.1007/s11424-022-1296-0
XIE Matthew H Y , ZHANG Philip B. The Log-Concavity of Kazhdan-Lusztig Polynomials of Uniform Matroids. Journal of Systems Science and Complexity, 2023, 36(1): 117-128 https://doi.org/10.1007/s11424-022-1296-0

参考文献

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基金

This paper was supported by the National Natural Science Foundation of China under Grant Nos. 11901431 and 12171362.
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