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arxiv: 1805.06330 · v2 · submitted 2018-05-16 · 🧮 math.GR · math.RT

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Twisted root system of a (*)-subgroup

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classification 🧮 math.GR math.RT
keywords rootsystemtwistedpropertiessmallstructuresubgroupsubgroups
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We classify (*)-subgroups of compact Lie groups of adjoint type, and associate a twisted root system to every (*)-subgroup. We study the structure of twisted root system in several aspects: properties of the small Weyl group W_{small} and its normal subgroups W_{tiny} and W_{f}; properties of finite root datum; structure of strips of infinite roots.

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