3-transportation groups and vertex operator algebras generated by Ising vectors of $\sigma$-type
发布人: 曹思圆   发布时间: 2020-11-16   浏览次数: 28

*主讲人:姜翠波 教授(上海交通大学)

*主持人:焦翔宇 副教授            

*时间:2020年11月17日14:00

*地点:闵行校区数学楼102


*讲座内容简介:We give a complete classification and characterization of OZ-type vertex operator algebras generated by Ising vector of $\sigma$-type. Furthermore we prove that all these vertex operator algebras are rational, $C_2$-cofinite and unitary, with which we prove that the classification theorem of 3-transposition groups $G_{\frac{1}{2},\frac{1}{2}}$ realizable by vertex operator algebras,  given by Matsuo, still  holds without the positivity assumption. This is a joint work with Ching-Hung Lam and Hiroshi Yamauchi.


*主讲人简介:姜翠波教授,上海交通大学特聘教授,博士生导师,主要研究李代数及顶点算子代数理论。她多次主持国家自然基金面上项目,目前已在国内外杂志发表学术论文60余篇,其中包括J. Reine Angew. Math., Adv. Math., Trans. AMS., Math. Z., Comm. Math. Phys. 等期刊。