On quantum symmetries of ADE graphs
On quantum symmetries of ADE graphs
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关于 ADE 图的量子对称性
DOI：
10.4310/atmp.2004.v8.n1.a5
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发表时间：
2004
影响因子：
1.5
通讯作者：
Cab
中科院分区：
文献类型：
--
作者：
R. Coquereaux;R. Marseille;Cab
研究了与ADE图相关的双三角代数（DTA）.给出了基于重构方法的双代数结构的描述。这种方法需要作为初始数据的表示理论的DTA由Ocneanu的细胞演算。证明了所得到的DTA具有弱 *-Hopf代数的结构.作为说明性示例，详细描述曲线图A3的情况。
The double triangle algebra(DTA) associated to an ADE graph is considered. A description of its bialgebra structure based on a reconstruction approach is given. This approach takes as initial data the representation theory of the DTA as given by Ocneanu's cell calculus. It is also proved that the resulting DTA has the structure of a weak *-Hopf algebra. As an illustrative example, the case of the graph A3 is described in detail.