Ana Prli'c

activity

20152018

collaborators

4 papers

math.RT2018

Construction of discrete series representations of $S O_{e} (4, 1)$ via algebraic Dirac induction

Ana Prlić

The notion of algebraic Dirac induction was introduced by P. Pandžić and D. Renard. This is a construction which gives representations with prescribed Dirac cohomology. They proved…

math.RT2018

Classification of $A_{q} (λ)$ modules by their Dirac cohomology for type $D$ , $G_{2}$ and $sp (2 n, R)$

Ana Prlić

Let $G$ be a connected real reductive group with maximal compact subgroup $K$ of the same rank as $G$ . In the recent paper of Huang, Pandžić and Vogan, it was shown that the admiss…

math.RT2017

The centralizer of $K$ in $U (g) \otimes C (p)$ for the group $S O_{e} (4, 1)$

Ana Prlić

Let $G$ be the Lie group $S O_{e} (4, 1)$ , with maximal compact subgroup $K = S (O (4) \times O (1))_{e} ≅ S O (4)$ . Let $g = so (5, C)$ be the complexification o…

math.RT2015

Algebraic Dirac induction for nonholomorphic discrete series of SU(2, 1)

Ana Prlić

In a joint paper P. Pandžić and D. Renard proved that holomorphic and antiholomorphic discrete series representations can be constructed via algebraic Dirac induction. The group $S…

Construction of discrete series representations of SOe​(4,1) via algebraic Dirac induction

Classification of Aq​(λ) modules by their Dirac cohomology for type D, G2​ and sp(2n,R)

The centralizer of K in U(g)⊗C(p) for the group SOe​(4,1)

Algebraic Dirac induction for nonholomorphic discrete series of SU(2, 1)

Construction of discrete series representations of $S O_{e} (4, 1)$ via algebraic Dirac induction

Classification of $A_{q} (λ)$ modules by their Dirac cohomology for type $D$ , $G_{2}$ and $sp (2 n, R)$

The centralizer of $K$ in $U (g) \otimes C (p)$ for the group $S O_{e} (4, 1)$