Some Classical and Quantum Algebras

Bong H. Lian; Gregg J. Zuckerman

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arXiv · hep-th/9404010

Some Classical and Quantum Algebras

Bong H. Lian·Gregg J. Zuckerman

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Abstract

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.

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Bong H. Lian, Gregg J. Zuckerman. 1994-05-11. Some Classical and Quantum Algebras. https://arxiv.org/abs/hep-th/9404010

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