Deformations of Complex Structures on a Real Lie Algebra
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].
KeywordsCohomology Group Infinitesimal Deformation Holomorphic Tangent Bundle Invariant Complex Structure Zariski Tangent Space
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