Gordan Savin

activity

19952025

most citedFunctoriality and the Inverse Galois Problem

20 citations · 69 across the 33 of their papers we have counts for

collaborators

39 papers

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

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★ 1 cited

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 $S p (2 n, R), S O^{*} (2 n)$ 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.

math.RT2023

The Dual Pair $Aut (C) \times F_{4}$ ( $p$ -adic case)

Edmund Karasiewicz, Gordan Savin

We study the local theta correspondence for dual pairs of the form $Aut (C) \times F_{4}$ over a $p$ -adic field, where $C$ is a composition algebra of dimension 2 or 4, by r…

math.RT2023

Similitude exceptional theta correspondences

Petar Bakic, Wee Teck Gan, Gordan Savin

We construct and develop a similitude version of exceptional theta correspondences and show that the Howe duality theorem follows from that for the "isometry" case. We also extend…