Twisted root system of a (*)-subgroup
Group Theory
2018-07-23 v2 Representation Theory
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.
Cite
@article{arxiv.1805.06330,
title = {Twisted root system of a (*)-subgroup},
author = {Jun Yu},
journal= {arXiv preprint arXiv:1805.06330},
year = {2018}
}
Comments
49 pages, no figure. Comments and suggestions are welcome