论文标题

有限的Coxeter组的双重互动

Dual involutions in finite Coxeter groups

论文作者

Zibrowius, Marcus

论文摘要

在有限的Coxeter组中,有一个众所周知的共轭类别的分类,该类别是根据其Coxeter图的子集的。在许多情况下,与最长元素的互动的乘积再次是一种互动。我们根据上述分类确定了该产品相关性的共轭类别。

There is a well-known classification of conjugacy classes of involutions in finite Coxeter groups, in terms of subsets of nodes of their Coxeter graphs. In many cases, the product of an involution with the longest element is again an involution. We identify the conjugacy class of this product involution in terms of said classification.

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