Moyal quantization and stable homology of necklace Lie algebras

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dc.creatorGinzburg, Victor
dc.creatorSchedler, Travis
dc.date2006-05-28
dc.date2006-09-05
dc.date.accessioned2026-07-07T07:14:34Z
dc.date.available2026-07-07T07:14:34Z
dc.descriptionWe compute the stable homology of necklace Lie algebras associated with quivers and give a construction of stable homology classes from certain $A_\infty$-categories. Our construction is a generalization of the construction of homology classes of moduli spaces of curves due to M. Kontsevich. In the second part of the paper we produce a Moyal-type quantization of the symmetric algebra of a necklace Lie algebra. The resulting quantized algebra has natural representations in the usual Moyal quantization of polynomial algebras.
dc.descriptionIncludes updated version of math.QA/0503405; second version contains minor corrections
dc.identifierhttps://arxiv.org/abs/math/0605704
dc.identifierhttp://arxiv.org/abs/math/0605704
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/112927
dc.subjectQuantum Algebra
dc.titleMoyal quantization and stable homology of necklace Lie algebras
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