On the associated variety of a highest weight Harish-Chandra module
Representation Theory
2024-02-15 v1
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 highest weight Harish-Chandra module which is uniform across Cartan types and is valid for arbitrary infinitesimal character.
Keywords
Cite
@article{arxiv.2402.08886,
title = {On the associated variety of a highest weight Harish-Chandra module},
author = {Zhanqiang Bai and Markus Hunziker and Xun Xie and Roger Zierau},
journal= {arXiv preprint arXiv:2402.08886},
year = {2024}
}
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34 pages