A simple proof of the classification of unitary highest weight modules

Seminar series

Algebra Seminar

Date

Tue, 21 May 2019
14:15

Location

Speaker

Pavle Pandzic

Organisation

University of Zagreb

Unitary highest weight modules were classified in the 1980s by Enright-Howe-Wallach and independently by Jakobsen. The classification is based on a version of the Dirac inequality, but the proofs also require a number of other techniques and are quite involved. We present a much simpler proof based on a different version of the Dirac inequality. This is joint work with Vladimir Soucek and Vit Tucek.