An extention of Nomizu’s Theorem –A user’s guide–

Hisashi Kasuya. "An extention of Nomizu’s Theorem –A user’s guide–." Complex Manifolds 3.1 (2016): 231-238. <http://eudml.org/doc/286746>.

@article{HisashiKasuya2016,
abstract = {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).},
author = {Hisashi Kasuya},
journal = {Complex Manifolds},
keywords = {Solvmanifold; Cohomology; solvmanifold; cohomology},
language = {eng},
number = {1},
pages = {231-238},
title = {An extention of Nomizu’s Theorem –A user’s guide–},
url = {http://eudml.org/doc/286746},
volume = {3},
year = {2016},
}

TY - JOUR
AU - Hisashi Kasuya
TI - An extention of Nomizu’s Theorem –A user’s guide–
JO - Complex Manifolds
PY - 2016
VL - 3
IS - 1
SP - 231
EP - 238
AB - 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).
LA - eng
KW - Solvmanifold; Cohomology; solvmanifold; cohomology
UR - http://eudml.org/doc/286746
ER -