Complex structures on the complexification of a real Lie algebra

Let g = a+b be a Lie algebra with a direct sum decomposition such that a and b are Lie subalgebras. Then, we can construct an integrable complex structure J̃ on h = ℝ(gℂ) from the decomposition, where ℝ(gℂ) is a real Lie algebra obtained from gℂby the scalar restriction. Conversely, let J̃ be an int...

Descripción completa

Guardado en:

Detalles Bibliográficos
Autor principal:	Yamada Takumi
Formato:	article
Lenguaje:	EN
Publicado:	De Gruyter 2018
Materias:	nilmanifold dolbeault cohomology group complex structure 53c30 57t15 22e25 Mathematics QA1-939
Acceso en línea:	https://doaj.org/article/b0491356f00f474abb8aac5e789c09b4
Etiquetas:	Agregar Etiqueta Sin Etiquetas, Sea el primero en etiquetar este registro!

id	oai:doaj.org-article:b0491356f00f474abb8aac5e789c09b4
record_format	dspace
spelling	oai:doaj.org-article:b0491356f00f474abb8aac5e789c09b42021-12-02T19:07:54ZComplex structures on the complexification of a real Lie algebra2300-744310.1515/coma-2018-0010https://doaj.org/article/b0491356f00f474abb8aac5e789c09b42018-08-01T00:00:00Zhttps://doi.org/10.1515/coma-2018-0010https://doaj.org/toc/2300-7443Let g = a+b be a Lie algebra with a direct sum decomposition such that a and b are Lie subalgebras. Then, we can construct an integrable complex structure J̃ on h = ℝ(gℂ) from the decomposition, where ℝ(gℂ) is a real Lie algebra obtained from gℂby the scalar restriction. Conversely, let J̃ be an integrable complex structure on h = ℝ(gℂ). Then, we have a direct sum decomposition g = a + b such that a and b are Lie subalgebras. We also investigate relations between the decomposition g = a + b and dim Hs.t∂̄J̃ (hℂ).Yamada TakumiDe Gruyterarticlenilmanifolddolbeault cohomology groupcomplex structure53c3057t1522e25MathematicsQA1-939ENComplex Manifolds, Vol 5, Iss 1, Pp 150-157 (2018)
institution	DOAJ
collection	DOAJ
language	EN
topic	nilmanifold dolbeault cohomology group complex structure 53c30 57t15 22e25 Mathematics QA1-939
spellingShingle	nilmanifold dolbeault cohomology group complex structure 53c30 57t15 22e25 Mathematics QA1-939 Yamada Takumi Complex structures on the complexification of a real Lie algebra
description	Let g = a+b be a Lie algebra with a direct sum decomposition such that a and b are Lie subalgebras. Then, we can construct an integrable complex structure J̃ on h = ℝ(gℂ) from the decomposition, where ℝ(gℂ) is a real Lie algebra obtained from gℂby the scalar restriction. Conversely, let J̃ be an integrable complex structure on h = ℝ(gℂ). Then, we have a direct sum decomposition g = a + b such that a and b are Lie subalgebras. We also investigate relations between the decomposition g = a + b and dim Hs.t∂̄J̃ (hℂ).
format	article
author	Yamada Takumi
author_facet	Yamada Takumi
author_sort	Yamada Takumi
title	Complex structures on the complexification of a real Lie algebra
title_short	Complex structures on the complexification of a real Lie algebra
title_full	Complex structures on the complexification of a real Lie algebra
title_fullStr	Complex structures on the complexification of a real Lie algebra
title_full_unstemmed	Complex structures on the complexification of a real Lie algebra
title_sort	complex structures on the complexification of a real lie algebra
publisher	De Gruyter
publishDate	2018
url	https://doaj.org/article/b0491356f00f474abb8aac5e789c09b4
work_keys_str_mv	AT yamadatakumi complexstructuresonthecomplexificationofarealliealgebra
_version_	1718377170778193920

Complex structures on the complexification of a real Lie algebra

Ejemplares similares