Formula for the reflection length of elements in the group G(m,p,n)☆

Formula for the reflection length of elements in the group G(m,p,n)☆
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DOI:
10.1016/j.jalgebra.2007.06.031
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发表时间:
2007-10
期刊:
影响因子:
0.9
通讯作者:
Jian-yi Shi
Jian-yi Shi
中科院分区:
数学3区
文献类型:
--
作者:
Jian-yi Shi

文献摘要

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给出了反射群G(m,p,n)上具有p∈[m]和p|m的反射长度函数的一个封闭公式,该公式分别在p=1,p=m和p∈[2,m−1](见定理2.1,3.1和4.4的证明)中给出。
We deduce a closed formula for the reflection length functions on the reflection group G(m,p,n) with p∈[m] and p|m. The formula is shown separately in three cases: p=1, p=m and p∈[2,m−1] (see the proof of Theorems 2.1, 3.1 and 4.4).