2-step nilpotent Lie groups arising from semisimple modules

Details 2-step nilpotent Lie groups arising from semisimple modules 2-step nilpotent Lie groups arising from semisimple modules

2008-06-17

arxiv.org/abs/0806.2844v1

Mathematics

Differential Geometry

54 pages

Scientific paper

Every finite dimensional real representation of a compact real semisimple Lie
algebra determines a metric 2-step nilpotent Lie algebra and a corresponding
simply connected metric 2-step nilpotent Lie group N. We study the differential
geometry of N using representation theory of the complexified complex
semisimple Lie algebra.

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