Petar Bakić

activity

20182026

collaborators

9 papers

math.RT2026

$\SL_3$ dual pairs

Petar Bakić, Wee Teck Gan, Gordan Savin

We study the exceptional theta correspondence for dual pairs of the form $\SL_3\times G$ inside $p$ -adic groups of type $E_{n}$ , $n = 6, 7, 8$ . We establish Howe duality for lifts of all…

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.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…

math.RT2022

Theta correspondence and Arthur packets: on the Adams conjecture

Petar Bakic, Marcela Hanzer

The Adams conjecture predicts that the local theta correspondence should respect Arthur packets. In this paper, we revisit the Adams conjecture for the symplectic--even orthogonal…

math.RT2021

Howe duality for a quasi-split exceptional dual pair

Petar Bakic, Gordan Savin

We prove Howe duality for the theta correspondence arising from the $p$ -adic dual pair $G_{2} \times (PU_{3} ⋊ Z /2 Z)$ inside the adjoint quasi-split grou…

math.RT2020

The Gelfand--Graev representation of SO $(2 n + 1)$ in terms of Hecke algebras

Petar Bakic, Gordan Savin

Let $G$ be a $p$ -adic classical group. The representations in a given Bernstein component can be viewed as modules for the corresponding Hecke algebra---the endomorphism algebra of…

math.RT2019

Theta correspondence for symplectic-orthogonal and metaplectic-orthogonal p-adic dual pairs

Petar Bakic, Marcela Hanzer

In this paper, we completely describe the Howe correspondence for the dual pairs from the title over a nonarchimedean local field of characteristic zero. More specifically, for eve…

math.RT2019

Generic representations of metaplectic groups and their theta lifts

Petar Bakic, Marcela Hanzer

In this paper we give the description of generic representations of metaplectic groups over p-adic fields in terms of their Langlands parameters and calculate their theta lifts on…

math.RT2018

Theta lifts of generic representations for dual pairs $(Sp_{2 n}, O (V))$

Petar Bakic

We determine the occurrence and explicitly describe the theta lifts on all levels of all the irreducible generic representations for the dual pair of groups $(\mathrm{Sp}_{2n}, \ma…

$\SL_3$ dual pairs

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

Similitude exceptional theta correspondences

Theta correspondence and Arthur packets: on the Adams conjecture

Howe duality for a quasi-split exceptional dual pair

The Gelfand--Graev representation of SO(2n+1) in terms of Hecke algebras

Theta correspondence for symplectic-orthogonal and metaplectic-orthogonal p-adic dual pairs

Generic representations of metaplectic groups and their theta lifts

Theta lifts of generic representations for dual pairs (Sp2n​,O(V))

The Gelfand--Graev representation of SO $(2 n + 1)$ in terms of Hecke algebras

Theta lifts of generic representations for dual pairs $(Sp_{2 n}, O (V))$