论文标题
几何分区类别：在简短的Brauer代数及其斑点亚词法上
Geometric partition categories: On short Brauer algebras and their blob subalgebras
论文作者
论文摘要
这里的主要结果给出了代数（/线性类别）在几何定义的子类别之间的同构$ j^1_0 $的短brauer类别$ j_0 $和blob类别$ b $的某个参数专业化。也就是说，我们证明了[14]的备注6.7中的猜想。我们还定义了一系列概括$ j^i_ {i-1} $的类别$ j^1_0 $。 $ J_0 $与BLOB类别的连接激发了对连接的搜索，其优美的表示理论。在这里，我们获得了确定非骨化条件的公式（概括了经典的“统一”条件）。
The main result here gives an algebra(/linear category) isomorphism between a geometrically defined subcategory $J^1_0$ of a short Brauer category $J_0$ and a certain one-parameter specialisation of the blob category $b$. That is, we prove the Conjecture in Remark 6.7 of [14]. We also define a sequence of generalisations $J^i_{i-1}$ of the category $J^1_0$. The connection of $J_0$ with the blob category inspires a search for connections also with its beautiful representation theory. Here we obtain formulae determining the non-semisimplicity condition (generalising the classical `root-of-unity' condition).
