Extensions of vertex algebras. Constructions and applications

被引：4
作者：
Feigin, B. L. [1 ]
机构：
[1] Natl Res Univ, Higher Sch Econ, Int Lab Representat Theory & Math Phys, Moscow, Russia
来源：
RUSSIAN MATHEMATICAL SURVEYS | 2017年 / 72卷 / 04期
基金：
俄罗斯科学基金会;
关键词：
vertex operator algebras; screenings; opers; quantum groups; KAC-MOODY; QUANTIZATION; REPRESENTATIONS;
D O I：
10.1070/RM9778
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
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.
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收藏
页码：707 / 763
页数：57
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