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arXiv 0810.3322math.CO
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Clifford代数与图

Clifford Algebras and Graphs

Tanya Khovanova

摘要:

我展示了如何将Clifford代数与图联系起来。我描述了这些Clifford图代数的结构,并提供了许多例子和图片。我描述了哪些图对应于同构的Clifford代数,并讨论了其他相关的图集。这种构造可以用来建立单缀紧李群的表示模型。

英文摘要:

I show how to associate a Clifford algebra to a graph. I describe the structure of these Clifford graph algebras and provide many examples and pictures. I describe which graphs correspond to isomorphic Clifford algebras and also discuss other related sets of graphs. This construction can be used to build models of representations of simply-laced compact Lie groups.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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