论文标题
Weyl群和一项单位共轭类的共轭类别的部分订单
Partial orders on conjugacy classes in the Weyl group and on unipotent conjugacy classes
论文作者
论文摘要
让$ g $成为代数封闭场上的还原组，让$ w $为其Weyl Group。在一系列论文中，卢斯蒂格（Lusztig）从$ w $的$ w $ of set $ [w] $ [g_u] $ [g_u] $ of $ g $的$ [g_u] $中介绍了一张地图。此地图仅限于$ w $的椭圆形共轭类$ [w_e] $时。在本文中，我们表明lusztig的地图$ [w_e] \ to [g_u] $在$ [w_e] $上的自然部分顺序是依次的，由$ [w_e] $引起的$ [w_e] $，以及$ [g_u] $的自然部分订单。
Let $G$ be a reductive group over an algebraically closed field and let $W$ be its Weyl group. In a series of papers, Lusztig introduced a map from the set $[W]$ of conjugacy classes of $W$ to the set $[G_u]$ of unipotent classes of $G$. This map, when restricted to the set of elliptic conjugacy classes $[W_e]$ of $W$, is injective. In this paper, we show that Lusztig's map $[W_e] \to [G_u]$ is order-reversing, with respect to the natural partial order on $[W_e]$ arising from combinatorics and the natural partial order on $[G_u]$ arising from geometry.
