Automorphism groups of parafermion vertex operator algebras

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:Ching Hung Lam(台湾“中研院”数学研究所)
:2025-05-16 15:00
:海韵园实验楼S107

报告人:Ching Hung Lam台湾“中研院”数学研究所

 间:202551615:00

 点:海韵园实验楼S107

内容摘要:

We determine the full automorphism groups of all parafermion vertex operator algebras associated with simple Lie algebras and positive integral levels. In particular, we show that the automorphism group is isomorphic to the automorphism group of the root system of the simple Lie algebra if (i) the level is at least 3 or (ii) the level is 2 and the simple Lie algebra is non-simply laced.

人简介

林正洪(Ching Hung Lam)是台湾“中研院”数学研究所的研究员,主要研究顶点算子代数的结构与表示理论,以及它们在散在单群领域的应用。他在该领域取得了多项重要成果,相关工作发表于 Adv. Math., Int. Math. Res. Not., Commun. Math. Phys., Trans. Amer. Math. Soc., Proc. Lond. Math. Soc., Math. Z., Amer. J. Math. 等期刊。

 

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