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A momentum map for the Heisenberg group

Published 3 Aug 2023 in math.SG | (2308.01866v2)

Abstract: These notes treat a momentum map associated to the Heisenberg group. We classify the coadjoint orbits of the Heisenberg group and show that the cocycle associated to the momentum map becomes a value of the modulus of a coadjoint orbit. We give a representation theoretic description of this modulus.

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