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

Complex Manifolds (2016)

- Volume: 3, Issue: 1, page 231-238
- ISSN: 2300-7443

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topHisashi 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 -

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