# Theory of neutrino masses and mixing

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## Abstract

We motivate the usage of finite groups as symmetries of the Lagrangian. After a presentation of basic group-theoretical concepts, we introduce the notion of characters and character tables in the context of irreducible representations and discuss their applications. We exemplify these theoretical concepts with the groups *S* _{4} and *A* _{4}. Finally, we discuss the relation between tensor products of irreducible representations and Yukawa couplings and describe a model for tri-bimaximal lepton mixing based on *A* _{4}.

## Keywords

Finite Group Yukawa Coupling Neutrino Mass Grand Unify Theory Neutrino Mass Matrix
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© Pleiades Publishing, Ltd. 2011