论文标题
kazhdan-lusztig通过Zastava空间猜想
Kazhdan-Lusztig conjecture via Zastava spaces
论文作者
论文摘要
我们根据Zastava空间中的Zastava satake对应关系,从类别O中的简单复合物模块中的简单复杂模块中的简单复合物代数来推断出kazhdan-lusztig的猜想。我们对仿射代数和w-algebras进行了类似的猜测。
We deduce the Kazhdan-Lusztig conjecture on the multiplicities of simple modules over a simple complex Lie algebra in Verma modules in category O from the equivariant geometric Satake correspondence and the analysis of torus fixed points in zastava spaces. We make similar speculations for the affine Lie algebras and W-algebras.