Associated varieties for real reductive groups

TL;DR

This paper presents an algorithm, implemented in software, to compute the associated variety of Harish-Chandra modules for real reductive groups, aiding representation theory analysis.

Contribution

It introduces a novel algorithm for computing associated varieties, integrated into the atlas software, enhancing computational tools in representation theory.

Findings

Algorithm successfully computes associated varieties

Implementation in atlas software improves accessibility

Facilitates further research in real reductive group representations

Abstract

We give an algorithm to compute the associated variety of a Harish- Chandra module for a real reductive group $G({\mathbb R})$. The algorithm is implemented in the atlas software package.