Differentiability of quantum moment maps

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dc.creatorHamachi, Kentaro
dc.date2002-10-03
dc.date.accessioned2026-07-07T04:51:36Z
dc.date.available2026-07-07T04:51:36Z
dc.descriptionWe study quantum moment maps of $G$-invariant star products, which are a quantum analogue of the moment map for classical Hamiltonian systems. Introducing an integral representation, we show that any quantum moment map for a $G$-invariant star product is differentiable. This property gives us a new method for the classification of $G$-invariant star products on regular coadjoint orbits of compact semisimple Lie groups.
dc.description21 pages
dc.identifierhttps://arxiv.org/abs/math/0210044
dc.identifierhttp://arxiv.org/abs/math/0210044
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/65162
dc.subjectQuantum Algebra
dc.subjectDifferential Geometry
dc.subject16S80,16S30,37Kxx,22E46,22E7
dc.titleDifferentiability of quantum moment maps
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