Polynomial Algebras on Coadjoint Orbits of Semisimple Lie Groups

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dc.creatorGotay, Mark J.
dc.creatorGrabowski, Janusz
dc.creatorKaneshige, Bryon
dc.date2000-09-07
dc.date.accessioned2026-07-07T04:37:16Z
dc.date.available2026-07-07T04:37:16Z
dc.descriptionWe study the algebraic structure of the Poisson algebra P(O) of polynomials on a coadjoint orbit O of a semisimple Lie algebra. We prove that P(O) splits into a direct sum of its center and its derived ideal. We also show that P(O) is simple as a Poisson algebra iff O is semisimple.
dc.description6 pages, Latex2e
dc.identifierhttps://arxiv.org/abs/math/0009076
dc.identifierhttp://arxiv.org/abs/math/0009076
dc.identifierJ. Pure Appl. Algebra 170 (2002) 29-34.
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/59888
dc.subjectRings and Algebras
dc.subjectSymplectic Geometry
dc.titlePolynomial Algebras on Coadjoint Orbits of Semisimple Lie Groups
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