Twisted root system of a (*)-subgroup
arXiv:1805.06330
Abstract
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.
49 pages, no figure. Comments and suggestions are welcome