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

Published 14 Feb 2024 in math.RT | (2402.08886v1)

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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