Remarks on Hodge numbers and invariant complex structures of compact nilmanifolds

Abstract

If N is a simply connected real nilpotent Lie group with a Γ-rational complex structure, where Γ is a lattice in N, then for each s, t.We study relations between invariant complex structures and Hodge numbers of compact nilmanifolds from a viewpoint of Lie algberas.

Keywords

• nilmanifold
• Dolbeault cohomology group
• complex structure