algebra over the real number
نویسنده
چکیده
We give a new construction of the moonshine module vertex operator algebra V ♮ over the real field, which was originally constructed in [FLM2]. The advantage of our construction is that we can easily prove the facts that V ♮ has a positive definite invariant bilinear form and Aut(V ♮) is the Monster simple group. In addition, we construct a lot of conformal vectors in V ♮ which give rise to 2A-involutions. We also construct an infinite series of holomorphic VOAs. Each of them has exactly one irreducible module and its full automorphism group is finite. At the end of the paper, we will calculate the character of a 3C element of the Monster simple group.
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