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arxiv: 0710.0326 · v1 · submitted 2007-10-01 · 🧮 math.GR · math-ph· math.MP

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On Orbits of the Ring Z_n^m under the Action of the Group SL(m,Z_n)

Petr Novotn\'y , Ji\v{r}\'i Hrivn\'ak
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classification 🧮 math.GR math-phmath.MP
keywords actiongroupnumberorbitsringarbitraryconsiderdetermine
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We consider the action of the finite matrix group $SL(m,Z_n)$ on the ring $Z_n^m$. We determine orbits of this action for n arbitrary natural number. It is a generalization of the task which was studied by A.A. Kirillov for $m=2$ and $n$ prime number.

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  1. Generalized Global Symmetries

    hep-th 2014-12 accept novelty 9.0

    q-form global symmetries generalize ordinary symmetries to higher-dimensional charged objects, leading to new rules for amplitudes, gauging, breaking, and anomaly inflow in quantum field theories.