3 citations · 4 across the 6 of their papers we have counts for
7 papers
Pseudo-dual pairs and branching of Discrete Series
Bent Ørsted, Jorge A. Vargas
For a semisimple Lie group , we study Discrete Series representations with admissible branching to a symmetric subgroup . This is done using a canonical associated symmetric…
Branching problems in reproducing kernel spaces
Bent Orsted, Jorge A. Vargas
For a semisimple Lie group satisfying the equal rank condition, the most basic family of unitary irreducible representations is the discrete series found by Harish-Chandra. In…
Branching laws, some results and new examples
Oscar Marquez, Sebastian Simondi, Jorge A. Vargas
For a connected, noncompact matrix simple Lie group so that a maximal compact subgroup has three dimensional simple ideal, in this note we analyze the admissibility of the…
Discrete series of simple Lie groups with admissible restriction to a
Esther Galina, Jorge A. Vargas
In this note we determine the irreducible square integrable representations of a simple group which admits an admissible restriction to a subgroup locally isomorphic to $SL_2(\…
On the construction of a finite Siegel space
Jorge Soto Andrade, Jose Pantoja, Jorge A. Vargas
In this note we construct a finite analogue of classical Siegel's Space. Our approach is to look at it as a non commutative Poincare's half plane. The finite Siegel Space is descri…
Associated symmetric pair and multiplicities of admissible restriction of Discrete Series
Jorge A. Vargas
Let be a symmetric pair for a real semisimple Lie group and its associated pair. For each irreducible square integrable representation of so that it…
Harmonic Analysis on the Finite Twisted Poincaré Upper Half Plane
Jorge Soto-Andrade, Jorge Vargas
We prove that the induced representation from a non trivial character of the Coxeter torus of GL, for a finite field , is multiplicity-free; we give an explicit descripti…