Poisson geometry of the Grothendieck resolution of a complex semisimple group

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dc.creatorEvens, Sam
dc.creatorLu, Jiang-Hua
dc.date2006-10-03
dc.date2007-04-13
dc.date.accessioned2026-07-07T07:56:25Z
dc.date.available2026-07-07T07:56:25Z
dc.descriptionWe study a Poisson structure $π$ on the Grothendieck resolution $X$ of a complex semi-simple group $G$ and prove that the desingularization map $μ:(X,π) \to (G,π_0)$ is Poisson, where $π_0$ is a Poisson structure such that intersections of conjugacy classes and opposite Bruhat cells $BwB_-$ are Poisson subvarieties. We compute the symplectic leaves of $X$ and show that $(X, π)$ resolves singularities of $(G, π_0)$.
dc.descriptionFinal version for publication in MMJ, added references
dc.identifierhttps://arxiv.org/abs/math/0610123
dc.identifierhttp://arxiv.org/abs/math/0610123
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/127304
dc.subjectQuantum Algebra
dc.subjectRepresentation Theory
dc.subjectSymplectic Geometry
dc.subject53D17; 14M17; 20G20
dc.titlePoisson geometry of the Grothendieck resolution of a complex semisimple group
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