3 papers
math.RT2026
Unitary highest weight modules for and with fixed integral infinitesimal character
Pavle PandžiÄ, Ana PrliÄ, VladimÃr SouÄek +1
We classify unitary highest weight modules with a given integral infinitesimal character for the real Lie algebras and . We treat both reg…
math.RT2025
On the classification of unitary highest weight modules in the exceptional cases
Pavle PandžiÄ, Ana PrliÄ, Gordan Savin +2
In our previous paper, we gave a complete classification of the unitary highest weight modules for the universal covers of the Lie groups and $SU(p…
math.RT2025
On the classification of unitary highest weight modules
Pavle PandžiÄ, Ana PrliÄ, VladimÃr SouÄek +1
In the 1980s, Enright, Howe and Wallach [EHW] and independently Jakobsen [J] gave a complete classification of the unitary highest weight modules. In this paper we give a more dire…