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On the Associated Variety of a Highest Weight Harish-Chandra Module

Zhanqiang Bai, Markus Hunziker, Xun Xie, Roger Zierau

Source record

Source: Crossref

Published: Apr 1, 2025

DOI: 10.1093/imrn/rnaf095

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Source abstract

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.

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