2 papers
math.RT2026
Computing the Cousin-Zuckerman Resolution and the Lusztig-Vogan Bijection
Jack A. Cook
The goal of this article is to give a proof of a result seemingly absent from the literature characterizing global sections of standard -modules on the flag variety. T…
math.RT2025
Vanishing Cohomology of Dominant Line Bundles for Real Groups
Jack A. Cook
In \cite{Broer1993}, it was shown that certain line bundles on have vanishing higher cohomology. We prove a generalization of this theorem for real…