On Lie Groups and The Theory of Complex Variables

Godofredo Iommi Amunategui

On Lie Groups and The Theory of Complex Variables

History and Overview 2021-08-17 v2

Authors: Godofredo Iommi Amunategui

Abstract

In this note we envisage the relation existing between the Lie Groups and the Theory of Complex Variables. In particular, it is shown that the dimensions of the irreducibles representations of $SU(N)$ may be written in terms of the Eisenstein integers and an identity is built up between the imaginary parts of the dimensions of the irreducible representations of the Lie Groups $SU(3)$ and $Sp(4)$ .

Keywords

lie groups theory of complex variables irreducible representations su(n) eisenstein integers symplectic group

Cite

@article{arxiv.1312.1157,
  title  = {On Lie Groups and The Theory of Complex Variables},
  author = {Godofredo Iommi Amunategui},
  journal= {arXiv preprint arXiv:1312.1157},
  year   = {2021}
}

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