The McKay-Thompson series associated with the irreducible characters of the Monster

Koichiro Harada; Mong Lung Lang

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arXiv · q-alg/9412013

The McKay-Thompson series associated with the irreducible characters of the Monster

Koichiro Harada·Mong Lung Lang

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Abstract

Let $ \Bbb V = \coprod_{h = 0}^{\infty} \Bbb V_h$ be the graded monster module of the monster simple group $\Bbb M$ and let $χ_k$ be an irreducible representation of $\Bbb M$. The generating function of $c_{hk}$ (the multiplicity of $χ_k$ in $\Bbb V_h$) is determined. Furthermore, the invariance group of the modular function associated with the generating function is also determined in this paper.

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BibTeX RIS

Koichiro Harada, Mong Lung Lang. 1994-12-28. The McKay-Thompson series associated with the irreducible characters of the Monster. https://arxiv.org/abs/q-alg/9412013

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