Decompositions of the Moonshine Module with respect to subVOAs associated to codes over $\Z_{2k}$

Details Decompositions of the Moonshine Module with respect to subVOAs associated to codes over $\Z_{2k}$ Decompositions of the Moonshine Module with respect to subVOAs associated to codes over $\Z_{2k}$

2001-04-16

arxiv.org/abs/math/0104160v4

Mathematics

Quantum Algebra

16 pages, LaTex

Scientific paper

In this paper, we give decompositions of the moonshine module $V^{\natural}$ with respect to subVOAs associated to extremal Type II codes over $Z_{2k}$ for an integer $k\ge2$. Those subVOAs are isomorphic to the tensor product of 24 copies of the charge conjugation orbifold VOA. Using such decompositions, we obtain some elements of type 4A (k odd) and 2B (k even) of the Monster simple group Aut$(V^{\natural})$.

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