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arXiv 1504.08338math.OAmath.QA
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量子$G_{2}$范畴具有性质(T)

Quantum $G_{2}$ categories have property (T)

Corey Jones

摘要:

证明了对应于正$q\ne 1$的例外李群$G_2$的量子群$U_{q}(\mathfrak{g}_{2})$的有限维1型酉表示的刚性C*-张量范畴具有性质(T).

英文摘要:

We show that the rigid C*-tensor categories of finite dimensional type 1 unitary representations of the quantum groups $U_{q}(\mathfrak{g}_{2})$ corresponding to the exceptional Lie group $G_2$ for positive $q\ne 1$ have property (T).

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