On the associated variety of a highest weight Harish-Chandra module
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🧮 math.RT
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highestweightharish-chandramoduleassociatedformulavarietyacross
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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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