Complex structures on the complexification of a real Lie algebra
Let g = a+b be a Lie algebra with a direct sum decomposition such that a and b are Lie subalgebras. Then, we can construct an integrable complex structure J̃ on h = ℝ(gℂ) from the decomposition, where ℝ(gℂ) is a real Lie algebra obtained from gℂby the scalar restriction. Conversely, let J̃ be an int...
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| Format: | Article |
| Language: | English |
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De Gruyter
2018-08-01
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| Series: | Complex Manifolds |
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| Online Access: | https://doi.org/10.1515/coma-2018-0010 |