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arXiv · 2402.08886

On the associated variety of a highest weight Harish-Chandra module

Zhanqiang Bai·Markus Hunziker·Xun Xie·Roger Zierau
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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.

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Zhanqiang Bai, Markus Hunziker, Xun Xie, Roger Zierau. 2024-02-14. On the associated variety of a highest weight Harish-Chandra module. https://arxiv.org/abs/2402.08886

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