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On the Triality of the Hamming Code Vertex Operator Algebra

โœ Scribed by Mika Matsuo

Publisher
Elsevier Science
Year
2000
Tongue
English
Weight
114 KB
Volume
231
Category
Article
ISSN
0021-8693

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โœฆ Synopsis

We study a set of certain automorphisms of the Hamming code vertex operator algebra M , which permute the three sets of conformal vectors. We call this set H 8 the triality of H . We construct an embedding M to the VOA V associated to H H D 8 8 4 the lattice of type D , and we establish that the triality of M is obtained by 4 H 8 restricting the automorphisms of V that correspond to the classical triality of D . D 4 4

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