Characterizations of the Vertex Operator Algebras VLT and VLO

In this paper, we give characterizations of the rational vertex operator algebras V L T and V L O , where L is the root lattice of type A 1 , T is the tetrahedral group, and O is the octahedral group. By these two characterizations, the classification of rational VOAs of central charge 1 is reduced...

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Bibliographic Details
Published inAlgebras and representation theory Vol. 20; no. 2; pp. 313 - 334
Main Author Lin, Xianzu
Format Journal Article
LanguageEnglish
Published Dordrecht Springer Netherlands 01.04.2017
Subjects
Associative Rings and Algebras
Commutative Rings and Algebras
Mathematics
Mathematics and Statistics
Non-associative Rings and Algebras
Characterization
Rational vertex operator algebra
17B69
Generators and relations
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Summary:In this paper, we give characterizations of the rational vertex operator algebras V L T and V L O , where L is the root lattice of type A 1 , T is the tetrahedral group, and O is the octahedral group. By these two characterizations, the classification of rational VOAs of central charge 1 is reduced to the characterization of V L I where I is the icosahedral group.
ISSN:1386-923X
1572-9079
DOI:10.1007/s10468-016-9644-1