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

• Autorzy: Hisashi Kasuya
• Języki publikacji: EN

Abstrakty

EN

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\G, C) of the solvmanifold Γ\G. 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\G, C).

Słowa kluczowe

EN

Solvmanifold; Cohomology

• Wydawca: De Gruyter Open
• Czasopismo: Complex Manifolds
• Rocznik: 2016
• Tom: 3
• Numer: 1

Daty

otrzymano

2016-06-19

zaakceptowano

2016-09-05

online

2016-09-20

Twórcy

autor

Hisashi Kasuya

• Department of Mathematics, Tokyo Institute of Technology, 1-12-1, O-okayama, Meguro, Tokyo 152-8551, Japan

Identyfikatory

DOI

10.1515/coma-2016-0011