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Vogel universality, formulas for dimensions of simple Lie algebras and knot invariants

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

Alexei Sleptsov

时间

2026年05月15日 13:00 至 14:30

地点

A3-2a-302

线上

Zoom 242 742 6089 (BIMSA)

摘要

We will discuss two important applications of the $\Lambda$-algebra and the corresponding diagrammatic technique. First, it allows one to obtain various universal formulas for certain quantities in the adjoint representation of a Lie algebra. As an example, we will discuss a formula for the dimension of the adjoint representation of any simple Lie algebra. Second, by means of the $\Lambda$-algebra one can prove that quantum knot invariants do not contain some Vassiliev knot invariants.