SU（3）超根格的θ函数
Theta functions for lattices of SU(3) hyper-roots
摘要：
我们回顾了超根的定义，它可以关联到由选择一个单李群G和一个正整数k定义的融合范畴上的模范畴。这一定义是由Adrian Ocneanu于2000年提出的。当G=SU（2）时，所得的超根与ADEDynkin图的一般根一致.我们考虑了G=SU（3）时的相伴格，并确定了它们在许多情况下的θ函数，这些函数可以表示为用适当的狄利克雷特征标扭曲的模形式.
英文摘要：
We recall the definition of the hyper-roots that can be associated to modules-categories over the fusion categories defined by the choice of a simple Lie group G together with a positive integer k. This definition was proposed in 2000, using another language, by Adrian Ocneanu. If G=SU(2), the obtained hyper-roots coincide with the usual roots for ADE Dynkin diagrams. We consider the associated lattices when G=SU(3) and determine their theta functions in a number of cases; these functions can be expressed as modular forms twisted by appropriate Dirichlet characters.
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