Associated varieties for real reductive groups

2021/03/22 by Adams, Jeffrey, Vogan, David A. · 2 citations
#22E45 #FOS: Mathematics #Representation Theory (math.RT)

paper · doi:10.48550/arxiv.2103.11836

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.

Cited by

• Lectures on local theta correspondence
• Vanishing Cohomology of Dominant Line Bundles for Real Groups

Related

• Guide to the Atlas Software: Computational Representation Theory of Real Reductive Groups
• Examples of leading term cycles of Harish-Chandra modules
• Real structures on complex algebraic varieties with a reductive group action
• Algebraic Families of Harish-Chandra Pairs
• Rationality patterns