Morita equivalences on Brauer algebras and BMW algebras of simply-laced types

被引：0

作者：

Liu, Shoumin ^{[1
]}

机构：

[1] Shandong Univ, Sch Math, Shanda Nanlu 27, Jinan, Shandong, Peoples R China

来源：

JOURNAL OF ALGEBRA AND ITS APPLICATIONS | 2024年

关键词：

Brauer algebras; BMW algbebras; Morita equivalence; MURAKAMI-WENZL ALGEBRAS; CRITERION;

D O I：

10.1142/S0219498825501749

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The Morita equivalences of classical Brauer algebras and classical Birman-Murakami-Wenzl (BMW) 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 BMW algebras of simply-laced type are Morita equivalent to the direct sums of some group algebras of Coxeter groups and some Hecke algebras of Coxeter groups, respectively.

引用

页数：14

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