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Ternary Codes and Vertex Operator Algebras

โœ Scribed by Masaaki Kitazume; Masahiko Miyamoto; Hiromichi Yamada


Publisher
Elsevier Science
Year
2000
Tongue
English
Weight
175 KB
Volume
223
Category
Article
ISSN
0021-8693

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We study a vertex operator algebra whose Virasoro element is a sum of pairwise 1 orthogonal rational conformal vectors with central charge . The most important 2 example is the moonshine module V h . In particular, we construct a series of vertex operator algebras whose full automorphism groups are

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## DEDICATED TO PROFESSOR MICHIO SUZUKI ON HIS 70TH BIRTHDAY โฃqD D ลฝ . Condition S M = U is irreducible for any irreducible M -mod-โฃqD D ule U. Here M = U denotes a fusion product or a tensor product. They โฃqD both are the same in this paper since we will treat only rational VOAs. As

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We study the twisted representations of code vertex operator algebras. For any inner automorphism g of a code VOA M , we compute the g-twisted modules of D M by using the theory of induced modules. We also show that M is g-rational if g is an inner automorphism.