# A short introduction to Monstrous Moonshine

Abstract : This paper is an introduction to the Monstrous Moonshine correspondence aiming at an undergraduate level. We review first the classification of finite simple groups and some properties of the monster $\mathbb{M}$, and then the theory of classical modular functions and modular forms, in order to define Klein's $J$-invariant. Eventually we turn to the correspondence itself, the historical framework in which it appeared, the ideas that were developped in its proof, and its status nowadays.
Keywords :
Type de document :
Pré-publication, Document de travail
2019
Domaine :

https://hal.archives-ouvertes.fr/hal-02051469
Contributeur : Inspire Hep <>
Soumis le : mercredi 27 février 2019 - 17:48:50
Dernière modification le : mercredi 20 mars 2019 - 06:17:49

### Citation

Valdo Tatitscheff. A short introduction to Monstrous Moonshine. 2019. 〈hal-02051469〉

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