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学术报告:On signed Mahonian polynomials

发布时间:2018年06月21日 14:30      访问次数:

报告题目:On signed Mahonian polynomials

报告人:罗元勋副教授(厦门大学数学科学学院)  

报告时间:20180627日(周三)上午10:00

报告地点:理学院章辉楼442学术报告厅

联系人:林丽双副教授  

报告摘要:The distribution of the major index with sign the inversion number over symmetric group is given by Gessel and Simion as

and is generalized to Coxeter groups of type Bn and Dn by Adin-Gessel-Roichman and Biagioli-Caselli, respectively.

  In this talk we will show various new signed Mahonian polynomials over Coxeter groups of type Bn and Dn not mentioned in literature, and then extend this concept to the complex reflection group G(r, n) := Cr Sn. In the latter case the ‘sign’ is taken to be any of the 2r 1-dim characters χa,b and the ‘Mahonian statistic’ is the lmaj defined by Bagno in 2004 and the sorting index sor defined by Petersen in 2011 and then extended by the author in 2015. We also investigate the signed counting on G(r, n) for some statistics with the distribution [r]q [2r]q · · · [nr]q.

报告人简介:罗元勋厦门大学数学科学学院副教授研究方向为计数组合、图论、组合设计及其在通讯领域的应用。目前已在Advances in Applied MathematicsSIAM Discrete MathematicsDesigns Codes and CryptographyIEEE Internet of ThingsIEEE Transaction on Information Theory 等国际期刊发表20余篇论文。

欢迎广大师生前往听讲!

理学院

2018年6月21日

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