On quantizing semisimple basic algebras

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dc.creatorGotay, Mark J.
dc.date2000-12-18
dc.date2001-11-15
dc.date.accessioned2026-07-07T04:28:13Z
dc.date.available2026-07-07T04:28:13Z
dc.descriptionWe show that there is a consistent polynomial quantization of the coordinate ring of a basic nilpotent coadjoint orbit of a semisimple Lie group. We also show, at least in the case of a nilpotent orbit in sl(2,R)*, that any such quantization is essentially trivial. Furthermore, we prove that the coordinate ring of a basic semisimple orbit in sl(2,R)* cannot be consistently polynomially quantized.
dc.description15 pages, Latex2e. Section 3 substantially redone
dc.identifierhttps://arxiv.org/abs/math-ph/0012034
dc.identifierhttp://arxiv.org/abs/math-ph/0012034
dc.identifier"Geometry, Mechanics, and Dynamics: Volume in Honor of the 60th Birthday of J.E. Marsden", P. Holmes, P. Newton, & A. Weinstein, Eds., 523--536 (Springer, New York, 2002).
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/56701
dc.subjectMathematical Physics
dc.subjectSymplectic Geometry
dc.titleOn quantizing semisimple basic algebras
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