On the triality of the Hamming code vertex operator algebra

[摘要] We study a set of certain automorphisms of the Hamming code vertex operator algebra M-H8, which permute the three sets of conformal vectors. We call this set the triality of H-H8. We construct an embedding M-H8 to the VOA V-D4 associated to the lattice of type D-4, and we establish that the triality of M-H8 is obtained by restricting the automorphisms of VD4 that correspond to the classical triality of D-4. (C) 2000 Academic Press.

[发布日期] 2000-09-15

[关键词] vertex operator algebra;Hamming code;triality