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Spectrum of semisimple locally symmetric spaces and admissibility of spherical representations
Salah Mehdi, Martin Olbrich
We consider compact locally symmetric spaces where is a non-compact semisimple symmetric space and is a discrete subgroup of . We discuss some featur…
Representation theoretic embedding of twisted Dirac operators
Salah Mehdi, Pavle Pandzic
Let be a non-compact connected semisimple real Lie group with finite center. Suppose is a non-compact connected closed subgroup of acting transitively on a symmetric sp…
Approximation of nilpotent orbits for simple Lie groups
Lucas Fresse, Salah Mehdi
We propose a systematic and topological study of limits of continuous families of adjoint orbits for non-compact simple Lie groups. This limi…
Computing the associatied cycles of certain Harish-Chandra modules
Salah Mehdi, Pavle Pandzic, David Vogan +1
Let be a simple real linear Lie group with maximal compact subgroup and assume that . In \cite{…
Dirac Index and associated cycles of Harish-Chandra modules
Salah Mehdi, Pavle Pandzic, David Vogan +1
Let be a simple real linear Lie group with maximal compact subgroup and assume that . For any r…
Translation principle for Dirac index
Salah Mehdi, Pavle Pandžić, David A. Vogan
Let be a finite cover of a closed connected transpose-stable subgroup of $GL(n,\bR)$ with complexified Lie algebra $\frg$. Let be a maximal compact subgroup of , and ass…