Abstract
Let g0 be a real Lie algebra of dimension 2n. A complex structure on g0 is a complex subalgebra q of g = g0 ⊗ r C such that q⊕q0304 = g(⊕= direct sum of vector spaces). It is well known that q defines a left-invariant complex structure J= J(q) on the real Lie group G 0 associated with g0 [4, 5].
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References
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© 1993 Springer Science+Business Media New York
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Gigante, G., Tomassini, G. (1993). Deformations of Complex Structures on a Real Lie Algebra. In: Ancona, V., Silva, A. (eds) Complex Analysis and Geometry. The University Series in Mathematics. Springer, Boston, MA. https://doi.org/10.1007/978-1-4757-9771-8_16
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DOI: https://doi.org/10.1007/978-1-4757-9771-8_16
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