Felix Klein Colloquium: Generalized Root Systems

It is a classical result that semisimple complex Lie algebras are classified by their root systems. The definition of a root system requires that it is invariant by the orthogonal reflection associated with a root.

In 2023 Dimitrov and Fioresi introduced generalized root systems by weakening the axioms of a root system considerably. They provided a classification in the rank 2 case and observed that all examples are equivalent to quotients of classical root systems. In joint work with Cuntz this result was extended to the higher rank case.

In my talk I will recaII some classical results about root systems and discuss their quotients. I will then explain the main ideas of the proof of the classification of generalized root systems.

Speaker: Prof. Dr. Bernhard M. Mühlherr, University of Gießen, Germany

Time: 17:15 - 18:30 o'clock

Place: Building 48, room 210

The lectures of the Felix Klein Colloquium will be held at 17:15 in room 210 of the Mathematics Building 48. Beforehand - from 16:45 - there will be an opportunity to meet the speaker at the colloquium tea in room 580.