Morita equivalences on Brauer algebras and BMW algebras of simply-laced types
Morita equivalences on Brauer algebras and BMW algebras of simply-laced types
复制标题
DOI：
10.1142/s0219498825501749
复制
发表时间：
2019-04
影响因子：
0.8
通讯作者：
Shoumin Liu
中科院分区：
文献类型：
--
作者：
Shoumin Liu
经典Brauer代数和经典Bman-Murakami-Wenzl代数的Morita等价已经得到了很好的研究。在这里，我们研究了这两类简单花边型代数的Morita等价问题，特别是对它们的通有参数的情况。证明了简单花边型的Brauer代数和Bman-Murakami-Wenzl代数分别等价于某些Coxeter群的某些群代数和某些Coxeter群的某些Hecke代数的直和.
The Morita equivalences of classical Brauer algebras and classical Birman-Murakami-Wenzl algebras have been well studied. Here we study the Morita equivalence problems on these two kinds of algebras of simply-laced type, especially for them with the generic parameters. We show that Brauer algebras and Birman-Murakami-Wenzl algebras of simply-laced type are Morita equivalent to the direct sums of some group algebras of Coxeter groups and some Hecke algebras of some Coxeter groups, respectively.