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arXiv · 2103.08090

Noetherianity of twisted Zhu algebra and bimodules

Jianqi Liu
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Abstract

In this paper we show that for a large natural class of vertex operator algebras (VOAs) and their modules, the Zhu algebras and bimodules (and their $g$-twisted analogs) are Noetherian. These carry important information about the representation theory of the VOA, and its fusion rules, and the Noetherian property gives the potential for (non-commutative) algebro-geometric methods to be employed in their study.

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Jianqi Liu. 2021-03-15. Noetherianity of twisted Zhu algebra and bimodules. https://arxiv.org/abs/2103.08090

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