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个人信息Personal Information
副教授
硕士生导师
性别：男
毕业院校：北京大学
学位：博士
所在单位：数学科学学院
学科：基础数学. 应用数学
办公地点：创新园大厦B1103
电子邮箱：weng@dlut.edu.cn
扫描关注
Minuscule representations and Panyushev conjectures
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论文类型：期刊论文
发表时间：2018-10-01
发表刊物：SCIENCE CHINA-MATHEMATICS
收录刊物：SCIE
卷号：61
期号：10
页面范围：1759-1774
ISSN号：1674-7283
关键字：minuscule poset; M-polynomial; N-polynomial; Z-gradings of Lie algebra
摘要：Recently, Panyushev (2015) raised five conjectures concerning the structure of certain root posets arising from Z-gradings of simple Lie algebras. This paper aims to provide proofs for four of them. Our study also links these posets with Kostant-Macdonald identity, minuscule representations, Stembridge's t = -1 phenomenon, and the cyclic sieving phenomenon due to Reiner et al. (2004).