I will recall several highest weight categories for π°π©(β) studied in the past decade, and will then report on the newest highest weight categories introduced by P. Zadunaisky. A main point is the use a non-obvious Borel subalgebra plus a semi-large annihilator condition. As a side effect, the new categories produce interesting and challenging combinatorics.
This video was produced by the Universidade de SΓ£o Paulo, as part of the LieJor Online Seminar: Algebras, Representations, and Applications.
