Time: 9:30 -- 11:00, September 04, 2024

Venue: Room 612, A6, Institute of Mathematics-VAST

Abstract: One can attach to a complex semisimple Lie algebra a root system. We present a new approach for the theoretical reconstruction of a Lie semisimple Lie algebra from a root system based on elementary properties of Cohen-Macaulay modules. The new approach is more intuitive than classical Serre's approach using generators and relations because we construct specific tensors that the semisimple Lie algebra must stabilize.