S. Mehdi

activity

20152026

most citedApproximation of nilpotent orbits for simple Lie groups

1 citations · 2 across the 8 of their papers we have counts for

collaborators

10 papers

math.RT2026

Symplectic Dirac operators on homogeneous spaces

Dan Ciubotaru, Gang Liu, Salah Mehdi +1

We define symplectic Dirac operators on homogeneous spaces and study their representation-theoretic role. For an invariant polarization, the symplectic Dirac operator decomposes in…

math.RT2026

Harmonic analysis on compact standard quotients of non-Riemannian semisimple symmetric spaces

Salah Mehdi, Martin Olbrich

Let $Y = Γ\ G / H$ be a compact standard quotient of a non-Riemannian semisimple symmetric space $X = G / H$ . We investigate the spectral decomposition of the algebra $D (X)$ …

math.RT2023

Dirac cohomology and $Θ$ -correspondence for complex dual pairs

Spyridon Afentoulidis-Almpanis, Gang Liu, Salah Mehdi

We study the behavior of Dirac cohomology under Howe's $Θ$ -correspondence in the case of complex reductive dual pairs. More precisely, if $(G_{1}, G_{2})$ is a complex reductive dual pa…

math.RT2023

Matrix formulas for multiplicities in the spin module

Lucas Fresse, Salah Mehdi

We obtain inductive and enumerative formulas for the multiplicities of the weights of the spin module for the Clifford algebra of a Levi subalgebra in a complex semisimple Lie alge…

math.RT2021

Spectrum of semisimple locally symmetric spaces and admissibility of spherical representations

Salah Mehdi, Martin Olbrich

We consider compact locally symmetric spaces $Γ\ G / H$ where $G / H$ is a non-compact semisimple symmetric space and $Γ$ is a discrete subgroup of $G$ . We discuss some featur…

math.RT2021

Representation theoretic embedding of twisted Dirac operators

Salah Mehdi, Pavle Pandzic

Let $G$ be a non-compact connected semisimple real Lie group with finite center. Suppose $L$ is a non-compact connected closed subgroup of $G$ acting transitively on a symmetric sp…