7 citations · 14 across the 7 of their papers we have counts for
7 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…
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 …
Clifford algebras, symmetric spaces and cohomology rings of Grassmannians
Kieran Calvert, Kyo Nishiyama, Pavle Pandžić
We study various kinds of Grassmannians or Lagrangian Grassmannians over , or , all of which can be expressed as where…
Dirac cohomology of unipotent representations of Sp(2n,R) and U(p,q)
Dan Barbasch, Pavle Pandžić
In this paper we study the problem of computing the Dirac cohomology of the special unipotent representations of the real groups Sp(2n,R) and U(p,q).
Dirac operators and Lie algebra cohomology
Jing-Song Huang, Pavle Pandžić, David Renard
Dirac cohomology is a new tool to study unitary and admissible representations of semisimple Lie groups. It was introduced by Vogan and further studied by Kostant and ourselves \ci…
Equivariant analogues of Zuckerman functors
Pavle Pandžić
We review the Beilinson-Ginzburg construction of equivariant derived categories of Harish-Chandra modules, and introduce analogues of Zuckerman functors in this setting. They are g…