论文标题
Casselman-关于交织操作员的奇异性的shahidi猜想：异常类型
Casselman--Shahidi conjecture on the singularity of intertwining operators: groups of exceptional type
论文作者
论文摘要
作为我们最近关于Casselman的续集 - Shahidi的全体形态性猜想，这些猜想是针对准分数古典群体的半归一化相互交织的操作员的续集，我们根据Heiermann-Opdam的引理来修改我们的方法，以揭示针对异常类型象征的一组构想的某些构想。这里确定的一种主要成分是找到一种算法，以某些“小”对应物而产生一个相对最长的Weyl元素的分解降低。
As a sequel to our recent work on Casselman--Shahidi's holomorphicity conjecture on half-normalized intertwining operators for quasi-split classical groups, we modify our method, based on a lemma of Heiermann--Opdam, to prove certain cases of the conjecture for groups of exceptional type uniformly. One main ingredient, established here, is to find an algorithm to produce reduced decompositions of co-rank one relative longest Weyl elements, in terms of certain "small" counterparts.
