7 papers
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…
Clifford algebra analogue of Cartan's theorem for symmetric pairs
Kieran Calvert, Karmen Grizelj, Andrey Krutov +1
We extend Kostant's results about -invariants in the Clifford algebra of a complex semisimple Lie algebra to the relative case of $\…
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…
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…
Quantised -differential algebras
Andrey Krutov, Pavle PandžiÄ
We propose a definition of a quantised -differential algebra and show that the quantised exterior algebra (defined by Berenstein and Zwicknagl) and the quantised C…
Clifford algebras and Littlewood-Richardson coefficients
Kieran Calvert, Karmen Grizelj, Andrey Krutov +1
We show how to use Clifford algebra techniques to describe the de Rham cohomology ring of equal rank compact symmetric spaces . In particular, for …