On complete reducibility for infinite-dimensional Lie algebras

Maria Gorelik; Victor Kac

doi:10.1016/j.aim.2010.09.001

On complete reducibility for infinite-dimensional Lie algebras

Maria Gorelik, Victor Kac

Department of Mathematics

Weizmann Institute of Science

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

Abstract

In this paper we study the complete reducibility of representations of infinite-dimensional Lie algebras from the perspective of representation theory of vertex algebras.

Original language	English
Pages (from-to)	1911-1972
Number of pages	62
Journal	Advances in Mathematics
Volume	226
Issue number	2
DOIs	https://doi.org/10.1016/j.aim.2010.09.001
State	Published - 30 Jan 2011

All Science Journal Classification (ASJC) codes

General Mathematics

Access to Document

10.1016/j.aim.2010.09.001

Cite this

@article{4f87b0af587140e18208209ddb7e2010,

title = "On complete reducibility for infinite-dimensional Lie algebras",

abstract = "In this paper we study the complete reducibility of representations of infinite-dimensional Lie algebras from the perspective of representation theory of vertex algebras.",

author = "Maria Gorelik and Victor Kac",

note = "Minerva; ISF [1142/07]; NSFSupported in part by Minerva Grant and ISF Grant No. 1142/07.Supported in part by NSF Grant.",

year = "2011",

month = jan,

day = "30",

doi = "10.1016/j.aim.2010.09.001",

language = "الإنجليزيّة",

volume = "226",

pages = "1911--1972",

journal = "Advances in Mathematics",

issn = "0001-8708",

publisher = "Academic Press Inc.",

number = "2",

}

TY - JOUR

T1 - On complete reducibility for infinite-dimensional Lie algebras

AU - Gorelik, Maria

AU - Kac, Victor

N1 - Minerva; ISF [1142/07]; NSFSupported in part by Minerva Grant and ISF Grant No. 1142/07.Supported in part by NSF Grant.

PY - 2011/1/30

Y1 - 2011/1/30

N2 - In this paper we study the complete reducibility of representations of infinite-dimensional Lie algebras from the perspective of representation theory of vertex algebras.

AB - In this paper we study the complete reducibility of representations of infinite-dimensional Lie algebras from the perspective of representation theory of vertex algebras.

UR - http://www.scopus.com/inward/record.url?scp=78149498415&partnerID=8YFLogxK

U2 - 10.1016/j.aim.2010.09.001

DO - 10.1016/j.aim.2010.09.001

M3 - مقالة

SN - 0001-8708

VL - 226

SP - 1911

EP - 1972

JO - Advances in Mathematics

JF - Advances in Mathematics

IS - 2

ER -

On complete reducibility for infinite-dimensional Lie algebras

Abstract

All Science Journal Classification (ASJC) codes

Access to Document

Other files and links

Fingerprint

Cite this