For a simply connected solvable Lie group G with a lattice Γ, the author constructed an explicit finite-dimensional differential graded algebra A*Γ which computes the complex valued de Rham cohomology H*(Γ, C) of the solvmanifold Γ. In this note, we give a quick introduction to the construction of such A*Γ including a simple proof of H*(A*Γ) ≅ H*(Γ, C).
@article{bwmeta1.element.doi-10_1515_coma-2016-0011,
author = {Hisashi Kasuya},
title = {An extention of Nomizu's Theorem --A user's guide--},
journal = {Complex Manifolds},
volume = {3},
year = {2016},
zbl = {1351.22006},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.doi-10_1515_coma-2016-0011}
}
Hisashi Kasuya. An extention of Nomizu’s Theorem –A user’s guide–. Complex Manifolds, Tome 3 (2016) . http://gdmltest.u-ga.fr/item/bwmeta1.element.doi-10_1515_coma-2016-0011/