4 citations · 8 across the 5 of their papers we have counts for
5 papers
Unitary highest weight modules for and with fixed integral infinitesimal character
Pavle Pandžić, Ana Prlić, Vladimír Souček +1
We classify unitary highest weight modules with a given integral infinitesimal character for the real Lie algebras and . We treat both reg…
On the classification of unitary highest weight modules in the exceptional cases
Pavle Pandžić, Ana Prlić, 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…
On the classification of unitary highest weight modules
Pavle Pandžić, Ana Prlić, Vladimír Souček +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…
Dirac inequality for highest weight Harish-Chandra modules II
Pavle Pandžić, Ana Prlić, Vladimír Souček +1
Let be a connected simply connected noncompact exceptional simple Lie group of Hermitian type. In this paper, we work with the Dirac inequality which is a very useful tool for…
Dirac inequality for highest weight Harish-Chandra modules I
Pavle Pandžić, Ana Prlić, Vladimír Souček +1
Let be a connected simply connected noncompact classical simple Lie group of Hermitian type. Then has unitary highest weight representations. The proof of the classificatio…