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blefloch / tables-for-supersymmetry

Compact document containing many tables about supersymmetry and related hep-th topics.
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Lie groups #11

Open blefloch opened 8 years ago

blefloch commented 8 years ago

I've collected real forms of Lie algebras. What extends to Lie groups? Which group to choose: trivial kernel or simply connected? Do my intuitions still hold for non-compact groups? Should I take the algebraic point of view or the topological (i.e. what about the metaplectic group)?

blefloch commented 8 years ago

About subgroups of (compact pi_1=0 etc) Lie groups, see http://arxiv.org/abs/1207.1262

blefloch commented 8 years ago

The structure of semisimple Lie groups can be quite complicated. https://en.wikipedia.org/wiki/Lie_group_decomposition Actually https://en.wikipedia.org/wiki/Lie_group has good info.

blefloch commented 8 years ago

Group theory for unified model building

blefloch commented 8 years ago

Vogel plane