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

IF 0.5 3区数学 Q3 MATHEMATICS

Journal of Algebra and Its Applications Pub Date : 2024-02-05 DOI:10.1142/s0219498825501749

Shoumin Liu

引用次数: 0

Abstract

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.

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布劳尔代数和简并类型宝马代数上的莫里塔等价关系

经典布劳尔（Brauer）布拉和经典比尔曼-穆拉卡米-温茨尔（BMW）布拉的莫里塔等价问题已得到深入研究。在这里，我们研究了这两种简单带型布拉的莫里塔等价问题，尤其是它们的泛型参数问题。我们证明，简单间隔型的布劳尔（Brauer）布拉和宝马（BMW）布拉分别等价于某些考克赛特群的群布拉和某些考克赛特群的赫克布拉的直接和。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Journal of Algebra and Its Applications 数学-数学

CiteScore

1.50

自引率

12.50%

发文量

226

审稿时长

4-8 weeks

期刊介绍： The Journal of Algebra and Its Applications will publish papers both on theoretical and on applied aspects of Algebra. There is special interest in papers that point out innovative links between areas of Algebra and fields of application. As the field of Algebra continues to experience tremendous growth and diversification, we intend to provide the mathematical community with a central source for information on both the theoretical and the applied aspects of the discipline. While the journal will be primarily devoted to the publication of original research, extraordinary expository articles that encourage communication between algebraists and experts on areas of application as well as those presenting the state of the art on a given algebraic sub-discipline will be considered.