论文标题
倾斜模块和平均滑轮的滤过的过滤
Filtrations of tilting modules and costalks of parity sheaves
论文作者
论文摘要
令G为场上k的还原代数组。当K = C时，R.K.Brylinski使用Lie代数的主nilpotent元素的作用构建了G模块的重量空间的过滤，并证明了该过滤对应于Lusztig的Q-Analogue of The Wige Multiplicity的Q-Analogue。后来，金茨堡发现，这种过滤通过几何萨克对应关系具有有趣的几何解释。本文的目的是将这些结果推广到积极特征。
Let G be a reductive algebraic group over a field k. When k=C, R.K.Brylinski constructed a filtration of weight spaces of a G module, using the action of a principal nilpotent element of the Lie algebra, and proved that this filtration corresponds to Lusztig's q-analogue of the weight multiplicity. Later, Ginzburg discovered that this filtration has an interesting geometric interpretation via the geometric Satake correspondence. The goal of this article is to generalize these results to positive characteristics.
