A momentum map for the Heisenberg group

Fuente: arXiv
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Main Author: Cushman, Richard
Format: Preprint
Published: 2023
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author Cushman, Richard
author_facet Cushman, Richard
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2308_01866
institution arXiv
publishDate 2023
record_format arxiv
spellingShingle A momentum map for the Heisenberg group
Cushman, Richard
Symplectic Geometry
70H33
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.
title A momentum map for the Heisenberg group
topic Symplectic Geometry
70H33
url https://arxiv.org/abs/2308.01866