论文标题
最小还原类型和Kazhdan-Lusztig地图
Minimal reduction type and the Kazhdan-Lusztig map
论文作者
论文摘要
我们介绍了仿射弹簧纤维的最小还原类型的概念，并使用它来定义Weyl组中一组共轭类别的地图到Nilpotent Orbits集。我们表明，这张地图与Lusztig定义的地图相同，并且Kazhdan-Lusztig地图是我们地图的一部分。这解决了文献中的几个猜想。对于古典群体，我们通过引入和研究仿射弹簧纤维的“骨架”来证明结果更加完善。
We introduce the notion of minimal reduction type of an affine Springer fiber, and use it to define a map from the set of conjugacy classes in the Weyl group to the set of nilpotent orbits. We show that this map is the same as the one defined by Lusztig, and that the Kazhdan-Lusztig map is a section of our map. This settles several conjectures in the literature. For classical groups, we prove more refined results by introducing and studying the "skeleta" of affine Springer fibers.
