arXiv subjects

Igor Ciganović

Publications and source records attributed to Igor Ciganović.

3 recordsLinked to original sources

arXiv2024

Induction from two linked segments with one half border and cuspidal reducibility

In this paper, we determine the composition series of the induced representation $δ([ν^{\frac{1}{2}}ρ,ν^cρ])\times δ([ν^{-a}ρ,ν^bρ]) \rtimes σ$ where $a, b, c \in \mathbb{Z}+\frac{1}{2}$ such that $\frac{1}{2}\leq a < b < c$, $ρ$ is an irreducible cuspidal unitary representation of a general linear group and $σ$ is an irreducible cuspidal representation of a classical group such that $ν^\frac{1}{2}ρ\rtimes σ$ reduces.

math.RT↗

arXiv2023

Parabolic induction from two segments, linked under contragredient, with a one half cuspidal reducibility, a special case

In this paper, we determine the composition series of the induced representation $δ([ν^{-a}ρ,ν^{c}ρ]) \times δ([ν^{\frac{1}{2}}ρ, ν^{b}ρ]) \rtimes σ$ where $a, b, c \in \mathbb{Z}+ \frac{1}{2} $ such that $\frac{1}{2} \leq a < b < c $, $ ρ$ is an irreducible cuspidal unitary representation of a general linear group and $ σ$ is an irreducible cuspidal representation of a classical group.

math.RT↗

arXiv2021

Composition series of a class of induced representations built on discrete series

We have determined composition series of a class of induced representations appearing in Moeglin Tadić classification of discrete series. The result is further used to determine composition series of certain representations induced from Langlands quotients. This should provide more information on decomposing standard representations as well as Jacquet modules of discrete series, which has application in automorphic forms.

math.RT↗