25 citations · 81 across the 17 of their papers we have counts for
18 papers
A Note On the Orbits of a Symmetric Subgroup in the Flag Variety
Leticia Barchini, Peter E. Trapa
Motivated by relating the representation theory of the split real and -adic forms of a connected reductive algebraic group , we describe a subset of orbits on the compl…
Relating Real and P-adic Kazhdan-Lusztig Polynomials
Leticia Barchini, Peter E. Trapa
Fix an integral semisimple element in the Lie algebra of a complex reductive algebraic group . Let denote the centralizer of in and let $\mathfrak…
Unitarity of Unipotent Representations of Sp(p,q) and SO*(2n)
Dan M. Barbasch, Peter E. Trapa
The purpose of this paper is to define a set of representations of Sp(p,q) and SO*(2n), the unipotent representations of the title, and establish their unitarity. The unipotent rep…
Laplacians on spheres
Henrik Schlichtkrull, Peter Trapa, David A. Vogan
Spheres can be written as homogeneous spaces for compact Lie groups in a small number of ways. In each case, the decomposition of into irreducible representations…
Reducible characteristic cycles of Harish-Chandra modules for and the Kashiwara-Saito singularity
Leticia Barchini, Petr Somberg, Peter E. Trapa
We give examples of reducible characteristic cycles for irreducible Harish-Chandra modules for by analyzing a four-dimensional singular subvariety of $\mathbb{C}^…
Dirac Index and Twisted Characters
Dan Barbasch, Pavle Pandzic, Peter Trapa
Let G be a real reductive Lie group with maximal compact sub- group K. We generalize the usual notion of Dirac index to a twisted version, which is nontrivial even in case G and K…