3-transposition automorphism groups of VOA

Kitazume, Masaaki; Miyamoto, Masahiko

doi:10.2969/aspm/03210315

VOL. 32 | 2001 3-transposition automorphism groups of VOA

Chapter Author(s) Masaaki Kitazume, Masahiko Miyamoto

Editor(s) Eiichi Bannai, Hiroshi Suzuki, Hiroyoshi Yamaki, Tomoyuki Yoshida

Adv. Stud. Pure Math., 2001: 315-324 (2001) DOI: 10.2969/aspm/03210315

Abstract

We will consider some vertex operator algebras (VOAs) whose automorphism groups are generated by 3-transpositions. Our main examples are some code VOAs. We will classify the structures of the automorphism groups of the code VOAs. We give explicit constructions of such code VOAs, and determine the full automorphism groups for some cases.