Decomposition of the Moonshine Module with respect to a code over Z2k
نویسنده
چکیده
In this paper, we give a decomposition of the moonshine module V ♮ with respect to an extremal Type II code over Z2k for an integer k ≥ 2. Then we obtain automorphisms of V ♮, some 4A and 2B elements of the Monster with respect to the decomposition. We give examples of such a decomposition for some k and give the McKay-Thompson series for a 4A element.
منابع مشابه
Decompositions of the Moonshine Module with respect to subVOAs associated to codes over Z2k
In this paper, we give decompositions of the moonshine module V ♮ with respect to subVOAs associated to extremal Type II codes over Z2k for an integer k ≥ 2. 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 ♮).
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