Breaking classical Lie groups to finite subgroups - an automated approach

Maximilian Fallbacher

doi:10.1016/j.nuclphysb.2015.07.004

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arXiv · 1506.03677

Breaking classical Lie groups to finite subgroups - an automated approach

Maximilian Fallbacher

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Abstract

The decomposition of representations of compact classical Lie groups into representations of finite subgroups is discussed. A Mathematica package is presented that can be used to compute these branching rules using the Weyl character formula. For some low order finite groups including $A_4$ and $Δ(27)$ general analytical formulas are presented for the branching rules of arbitrary representations of their smallest Lie super-groups.

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Maximilian Fallbacher. 2015-07-15. Breaking classical Lie groups to finite subgroups - an automated approach. https://doi.org/10.1016/j.nuclphysb.2015.07.004

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