4 papers
The Gelfand--Graev representation of SO in terms of Hecke algebras
Petar Bakic, Gordan Savin
Let be a -adic classical group. The representations in a given Bernstein component can be viewed as modules for the corresponding Hecke algebra---the endomorphism algebra of…
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…
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…
Theta lifts of generic representations for dual pairs
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…