Some Classical and Quantum Algebras

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We discuss the notion of a Batalin-Vilkovisky (BV) algebra and give several classical examples from differential geometry and Lie theory. We introduce the notion of a quantum operator algebra (QOA) as a generalization of a classical operator algebra. In some examples, we view a QOA as a deformation of a commutative algebra. We then review the notion of a vertex operator algebra (VOA) and show that a vertex operator algebra is a QOA with some additional structures. Finally, we establish a connection between BV algebras and VOAs.
19 pages

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High Energy Physics - Theory, Quantum Algebra

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http://salesiana.dossiersoluciones.com/handle/123456789/148355

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/hep-th/9404010
 http://arxiv.org/abs/hep-th/9404010

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arXiv