Hecke Algebras of Classical Type and Their Representation Type
Hecke Algebras of Classical Type and Their Representation Type
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DOI：
10.1112/s0024611505015236
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发表时间：
2003-02
影响因子：
1.8
通讯作者：
S. Ariki
中科院分区：
文献类型：
--
作者：
S. Ariki
本文的目的是确定所有经典型Hecke代数的表示类型。为了做到这一点，我们结合联合收割机的方法，从我们以前的工作，这是用来获得信息的加布里埃尔箭图，并在有限维代数理论的最新进展。主要的计算是关于带两个参数的B型Hecke代数。然后，我们证明了Hecke代数的表示类型是由它们的Poincaré多项式决定的。2000年数学学科分类20C08、20G05、33D80。
The purpose of this article is to determine the representation type for all of the Hecke algebras of classical type. To do this, we combine methods from our previous work, which is used to obtain information on their Gabriel quivers, and recent advances in the theory of finite‐dimensional algebras. The principal computation is for Hecke algebras of type B with two parameters. Then, we show that the representation type of Hecke algebras is governed by their Poincaré polynomials. 2000 Mathematics Subject Classification 20C08, 20G05, 33D80.