报告人：姜翠波教授

        上海交通大学

报告题目：Vertex operator algebras generated by Ising vectors of $\sigma$-type

报告时间：2018年10月05日下午16:00

报告地点：海韵实验楼105

报告摘要：We prove that a simple moonshine type vertex operator algebra generated by Ising vectors of $\sigma$-type is uniquely determined by its Griess algebra. With this result, we give characterization of all the simple moonshine type vertex operator algebras generated by Ising vectors of $\sigma$-type. In particular, we prove that the moonshine type vertex operator algebra generated by Ising vectors of $\sigma$  type with the associated 3-transposition group being $S_n$ is simple and isomorphic to the rational vertex operator algebra $C_{L_{\widehat{\sl_{2}}^{\otimes n}}}(L_{\widehat{sl_2}}(n,0))$. We conjecture that all the moonshine type vertex operator algebras generated by Ising vectors of $\sigma$-type are simple and rational. This is a joint work with Ching Hung Lam and Hiroshi Yamauchi.

联系人：王清教授

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