论文标题
在Finkelberg-Ginzburg Miraboloc单型猜想
On the Finkelberg-Ginzburg Mirabolic Monodromy Conjecture
论文作者
论文摘要
我们计算秩1（theta，c）的所有值（theta，c）的mirabolic harish-chandra d模块的单构，以及在等级2及更高的明确的condimension 2集中值之外。这特别表明，Finkelberg-Ginzburg的猜想即使在（Theta，c）的通用值（Theta，c）的通用值中，甚至在等级1中都失败了。我们的主要工具是OPDAM的移位操作员和扩展封闭式Weyl组的互换器，这允许在两套码头之外的谐振率分辨率两集之外的分辨率。
We compute the monodromy of the mirabolic Harish-Chandra D-module for all values of the parameters (theta,c) in rank 1, and outside an explicit codimension 2 set of values in ranks 2 and higher. This shows in particular that the Finkelberg-Ginzburg conjecture, which is known to hold for generic values of (theta,c), fails at special values even in rank 1. Our main tools are Opdam's shift operators and intertwiners for the extended affine Weyl group, which allow for the resolution of resonances outside the codimension two set.
