Double Poisson structures on finite dimensional semi-simple algebras

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dc.creatorVan de Weyer, Geert
dc.date2006-03-22
dc.date.accessioned2026-07-07T07:07:09Z
dc.date.available2026-07-07T07:07:09Z
dc.descriptionWe give a description of the bimodule of double derivations DDer(S) of a finite dimensional semi-simple algebra S and its double Schouten bracket in terms of a quiver. This description is used to determine which degree two monomials in T_SDDer(S) induce double Poisson brackets on S. In case S = C^n, a criterion for any degree two element to give a double Poisson bracket is deduced. For S = C^n and S' = C^m, the induced Poisson bracket on the variety of isomorphism classes of semi-simple representations iss_n(S*T) of the free product S*T is given.
dc.description18 pages
dc.identifierhttps://arxiv.org/abs/math/0603533
dc.identifierhttp://arxiv.org/abs/math/0603533
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/110288
dc.subjectAlgebraic Geometry
dc.subjectRings and Algebras
dc.titleDouble Poisson structures on finite dimensional semi-simple algebras
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