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arXiv · 0806.2844

2-step nilpotent Lie groups arising from semisimple modules

Patrick Eberlein
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Abstract

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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Patrick Eberlein. 2008-06-17. 2-step nilpotent Lie groups arising from semisimple modules. https://arxiv.org/abs/0806.2844

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