Extensions of vertex algebras. Constructions and applications

B. L. Feigin

doi:10.1070/rm9778

Extensions of vertex algebras. Constructions and applications

Research output: Contribution to journal › Article › peer-review

Abstract

This paper discusses the main known constructions of vertex operator algebras. The starting point is the lattice algebra. Screenings distinguish subalgebras of lattice algebras. Moreover, one can construct extensions of vertex algebras. Combining these constructions gives most of the known examples. A large class of algebras with big centres is constructed. Such algebras have applications to the geometric Langlands programme. Bibliography: 46 titles.

Original language	English
Pages (from-to)	707-763
Number of pages	57
Journal	Russian Mathematical Surveys
Volume	72
Issue number	4
DOIs	https://doi.org/10.1070/rm9778
State	Published - 2017
Externally published	Yes

Keywords

Opers
Quantum groups
Screenings
Vertex operator algebras

All Science Journal Classification (ASJC) codes

General Mathematics

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10.1070/rm9778

Cite this

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abstract = "This paper discusses the main known constructions of vertex operator algebras. The starting point is the lattice algebra. Screenings distinguish subalgebras of lattice algebras. Moreover, one can construct extensions of vertex algebras. Combining these constructions gives most of the known examples. A large class of algebras with big centres is constructed. Such algebras have applications to the geometric Langlands programme. Bibliography: 46 titles.",

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AB - This paper discusses the main known constructions of vertex operator algebras. The starting point is the lattice algebra. Screenings distinguish subalgebras of lattice algebras. Moreover, one can construct extensions of vertex algebras. Combining these constructions gives most of the known examples. A large class of algebras with big centres is constructed. Such algebras have applications to the geometric Langlands programme. Bibliography: 46 titles.

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KW - Screenings

KW - Vertex operator algebras

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DO - 10.1070/rm9778

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Extensions of vertex algebras. Constructions and applications

Abstract

Keywords

All Science Journal Classification (ASJC) codes

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