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Vogel classification of Lie algebras

组织者

赛蒙·阿尔塔莫诺夫 , 叶夫根·马科东斯基 , 帕维尔·尼基丁 , 沙米尔·沙基洛夫

演讲者

Dmitrii Khudoteplov

时间

2026年05月13日 13:00 至 14:30

地点

A6-101

线上

Zoom 559 700 6085 (BIMSA)

摘要

In this talk, an alternative way to classify Lie algebras will be discussed. It is based on the Vogel's Λ-algebra, which is an algebra of trivalent diagrams modulo AS and IHX relations, resembling the axioms of Lie algebra. Due to the numerous relations in Λ, each simple Lie algebra is determined by as little as two parameters. Additionally, Λ contains zero divisors, which puts another constrain on the possible values of these parameters, allowing for classification of Lie algebras that is completely independent of the regular Cartan-Dynkin classification.