BIMSA >
Topics in Representation Theory
Topics in Representation Theory
Vogel universality, formulas for dimensions of simple Lie algebras and knot invariants
Vogel universality, formulas for dimensions of simple Lie algebras and knot invariants
Organizers
Speaker
Alexei Sleptsov
Time
Friday, May 15, 2026 1:00 PM - 2:30 PM
Venue
A3-2a-302
Online
Zoom 242 742 6089
(BIMSA)
Abstract
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.