Abstract

We prove a simple formula that calculates the associated variety of a highest weight Harish-Chandra module directly from its highest weight. We also give a formula for the Gelfand–Kirillov dimension of a highest weight Harish-Chandra module, which is uniform across Cartan types and is valid for arbitrary infinitesimal character.

This article is published and distributed under the terms of the Oxford University Press, Standard Journals Publication Model (https://dbpia.nl.go.kr/pages/standard-publication-reuse-rights)
You do not currently have access to this article.