论文标题
Iwahori-Hecke代数的同源稳定性
Homological stability for Iwahori-Hecke algebras
论文作者
论文摘要
我们表明，A_ {N-1}类型的IWAHORI-HECKE代数H_N满足同源稳定性，其中同源性被解释为适当的TOR组。在定义参数等于1的情况下，我们的结果准确地恢复了对称组的Nakaoka的同源稳定性结果。我们认为，我们认为本文与Boyd在temperley-Lieb代数上的联合合作是第一次将同源性稳定性技术应用于非组Algeberas的代数。
We show that the Iwahori-Hecke algebras H_n of type A_{n-1} satisfy homological stability, where homology is interpreted as an appropriate Tor group. Our result precisely recovers Nakaoka's homological stability result for the symmetric groups in the case that the defining parameter is equal to 1. We believe that this paper, and our joint work with Boyd on Temperley-Lieb algebras, are the first time that the techniques of homological stability have been applied to algebras that are not group algebras.
