Moyal quantization and stable homology of necklace Lie algebras

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We 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.
Includes updated version of math.QA/0503405; second version contains minor corrections

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Quantum Algebra

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http://salesiana.dossiersoluciones.com/handle/123456789/112927

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0605704
 http://arxiv.org/abs/math/0605704

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arXiv