Special Values for Conformally Invariant Systems Associated to Maximal Parabolics of Quasi-Heisenberg Type

TL;DR

This paper constructs new conformally invariant differential systems linked to maximal parabolics of quasi-Heisenberg type, extending previous work with novel techniques.

Contribution

It introduces a new method for constructing conformally invariant systems associated to maximal parabolics of quasi-Heisenberg type, generalizing prior results.

Findings

Constructed conformally invariant differential operators for specific parabolic subgroups.

Extended the class of known invariant systems beyond previous work.

Used novel techniques differing from earlier approaches.

Abstract

In this paper we construct conformally invariant systems of first order and second order differential operators associated to a homogeneous line bundle $\Cal{L}_{s} \to G_0/Q_0$ with $Q_0$ a maximal parabolic subgroup of quasi-Heisenberg type. This generalizes the results by Barchini, Kable, and Zierau.To do so we use techniques different from ones used by them.