论文标题
iwahori-hecke代数的主要系列表示的分解,用于本地领域的Kac-Moody群体
Decompositions of principal series representations of Iwahori-Hecke algebras for Kac-Moody groups over local fields
论文作者
论文摘要
最近,Iwahori-hecke代数与非Archimedean本地领域的Kac-Moody团体有关。在上一篇论文中,我们介绍了这些代数的主要序列表示形式,并部分概括了Kato的不可约性标准。在本文中,我们研究了其中一些表示时如何降低时分解它们,并推断出有关这些代数的不可还原表示的信息。
Recently, Iwahori-Hecke algebras were associated to Kac-Moody groups over non-Archimedean local fields. In a previous paper, we introduced principal series representations for these algebras and partially generalized Kato's irreducibility criterion. In this paper, we study how some of these representations decompose when they are reducible and deduce information on the irreducible representations of these algebras.