布劳尔代数和简并类型宝马代数上的莫里塔等价关系

Pub Date : 2024-02-05 DOI:10.1142/s0219498825501749

Shoumin Liu

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引用次数: 0

摘要

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。

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

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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