2 citations · 3 across the 6 of their papers we have counts for
7 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…
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}^…
Characteristic cycles of highest weight Harish-Chandra modules
R. Zierau
Characteristic cycles and leading term cycles of irreducible highest weight Harish-Chandra modules of regular integral infinitesimal character are determined. In the simply laced c…
Characteristic cycles of highest weight Harish-Chandra modules for Sp(2n,R)
Leticia Barchini, Roger Zierau
Characteristic cycles,leading term cycles,associated varieties and Harish-Chandra cells are computed for the family of highest weight Harish-Chandra modules for Sp(2n, R) having re…
Examples of leading term cycles of Harish-Chandra modules
L. Barchini, R. Zierau
Many examples are given of irreducible Harish-Chandra modules for type C having reducible leading term cycles. Examples are also given of irreducibles in category O having reducibl…
On the Unitary Globalization of Cohomologically Induced Modules
Leticia Barchini, Petr Somberg
We describe the unitary globalization of cohomologically induced modules $A_{\fq}(λ)$. The purpose of the paper is to give a geometric realization of the unitarizable modules. Our…