论文标题
H/W上的抛物线诱导和不良皮带
Parabolic induction and perverse sheaves on h/W
论文作者
论文摘要
对于具有Lie代数G，Cartan subergebra H和Weyl oft w的复杂还原性谎言组G，我们描述了H/W平滑W.R.T上的不良束带的类别。答案是根据混合棕束带给出的，这是对H/W天然细胞分解细胞的某些混合的捆毛毛皮数据。使用抛物线bruhat的分解，我们将混合的bruhat束带与各种抛物线诱导和限制过程的特性联系起来，这些过程将G.的不同LEVI亚组连接起来。
For a complex reductive Lie group G with Lie algebra g, Cartan subalgebra h and Weyl group W, we describe the category of perverse sheaves on h/W smooth w.r.t the natural stratification. The answer is given in terms of mixed Bruhat sheaves, which are certain mixed sheaf-cosheaf data on cells of a natural cell decomposition of h/W. Using the parabolic Bruhat decomposition, we relate mixed Bruhat sheaves with the properties of various procedures of parabolic induction and restriction that connect different Levi subgroups in G.
