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科学研究
Reflection Length and Reflection Ordering on the Group G(m,p,n)
发布时间:2018-03-27浏览次数:

题目:Reflection Length and Reflection Ordering on the Group G(m,p,n)

时间:2018年3月27日 16:00-17:00

地点:致远楼108室

报告人:时俭益 教授 (华东师范大学)

摘要:$G(m,p,n)$ is an imprimitive complex reflection group for any positive integer $m,p,n$ with $p/mid m$. We introduce the reflection length $l_T$ and the reflection ordering $/preceq_{mp}$ on $G(m,p,n)$. We shall give some close formulae of $l_T(z)$ for any $z/in G(m,p,n)$ and some criteria for any $x,y/in G(m,p,n)$ to

satisfy the relation $x/preceq_{mp}y$ when $(m,p)/in/{(1,1),(m,1),(m,m)/}$.

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