Some Calculations of the Lusztig-Vogan Bijection for Classical Nilpotent Orbits

Abstract

In this manuscript, we compute explicitly the Lusztig-Vogan bijection for local systems of some classical, special, nilpotent orbits. Using these results, we prove a conjecture of Achar and Sommers on regular functions of some covers of classical nilpotent orbits.

arXiv comment(v4) 21 pages