English

Irregular vertex algebras

Quantum Algebra 2019-08-08 v2 Algebraic Geometry Representation Theory

Abstract

We introduce the notion of irregular vertex (operator) algebras. The irregular versions of fundamental properties, such as Goddard uniqueness theorem, associativity and operator product expansions are formulated and proved. We also give some elementary examples of irregular vertex operator algebras.

Keywords

Cite

@article{arxiv.1906.12052,
  title  = {Irregular vertex algebras},
  author = {Akishi Ikeda and Yota Shamoto},
  journal= {arXiv preprint arXiv:1906.12052},
  year   = {2019}
}

Comments

38 pages, some typos are corrected, some definitions are reformulated

R2 v1 2026-06-23T10:06:22.844Z