Gordan Savin

activity

20242026

collaborators

4 papers

math.RT2026

Exceptional dual pair correspondences; case of real groups of split rank one

Petar Bakic, Hung Yean Loke, Gordan Savin

Exceptional real groups have quaternionic forms of split rank 4 that contain dual pairs $G \times G^{'}$ , where $G^{'}$ is the split Lie group of the type $G_{2}$ , and $G$ a Lie group of sp…

math.RT2025

Howe duality for the dual pair $S L_{2} (R) \times F_{4, 1}$ : a ping-pong of $K$ -types

Gordan Savin

We prove Howe duality for an exceptional theta correspondence. To that end we exploit a pair of see-saw identities and relate the $K$ -types of corresponding representations.

math.RT2025

On the classification of unitary highest weight modules in the exceptional cases

Pavle PandÅ¾iÄ, 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 $S p (2 n, R), S O^{*} (2 n)$ and $SU(p…

math.RT2024

Multiplicity free Weil representations arising from exceptional groups

Marcela Hanzer, Gordan Savin

Using exceptional theta correspondences, we prove that certain Weil representations of $p$ -adic groups are multiplicity free and determine irreducible quotients.

Exceptional dual pair correspondences; case of real groups of split rank one

Howe duality for the dual pair SL2​(R)×F4,1​: a ping-pong of K-types

On the classification of unitary highest weight modules in the exceptional cases

Multiplicity free Weil representations arising from exceptional groups

Howe duality for the dual pair $S L_{2} (R) \times F_{4, 1}$ : a ping-pong of $K$ -types