Deformations of Complex Structures on a Real Lie Algebra

  • Giuliana Gigante
  • Giuseppe Tomassini
Part of the The University Series in Mathematics book series (USMA)


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].


Cohomology Group Infinitesimal Deformation Holomorphic Tangent Bundle Invariant Complex Structure Zariski Tangent Space 
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Copyright information

© Springer Science+Business Media New York 1993

Authors and Affiliations

  • Giuliana Gigante
    • 1
  • Giuseppe Tomassini
    • 2
  1. 1.Dipartimento di MatematicaUniversità di ParmaParmaItaly
  2. 2.Scuola Normale Superiore di PisaPisaItaly

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