An Integrability Condition for Simple Lie Groups II

It is shown that a simple Lie group G (≠SL₂) can be locally characterised by an integrability condition on an Aut(g) structure on the tangent bundle, where Aut(g) is the automorphism group of the Lie algebra of G. The integrability condition is the vanishing of a torsion tensor of type (1,2). This i...

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Опубліковано в: :Symmetry, Integrability and Geometry: Methods and Applications
Дата:2015
Автор: Min-Oo, M.
Формат: Стаття
Мова:Англійська
Опубліковано: Інститут математики НАН України 2015
Онлайн доступ:https://nasplib.isofts.kiev.ua/handle/123456789/147007
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Назва журналу:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Цитувати:An Integrability Condition for Simple Lie Groups II / M. Min-Oo // Symmetry, Integrability and Geometry: Methods and Applications. — 2015. — Т. 11. — Бібліогр.: 6 назв. — англ.

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Digital Library of Periodicals of National Academy of Sciences of Ukraine
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author Min-Oo, M.
author_facet Min-Oo, M.
citation_txt An Integrability Condition for Simple Lie Groups II / M. Min-Oo // Symmetry, Integrability and Geometry: Methods and Applications. — 2015. — Т. 11. — Бібліогр.: 6 назв. — англ.
collection DSpace DC
container_title Symmetry, Integrability and Geometry: Methods and Applications
description It is shown that a simple Lie group G (≠SL₂) can be locally characterised by an integrability condition on an Aut(g) structure on the tangent bundle, where Aut(g) is the automorphism group of the Lie algebra of G. The integrability condition is the vanishing of a torsion tensor of type (1,2). This is a slight improvement of an earlier result proved in [Min-Oo M., Ruh E.A., in Differential Geometry and Complex Analysis, Springer, Berlin, 1985, 205-211].
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institution Digital Library of Periodicals of National Academy of Sciences of Ukraine
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language English
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publisher Інститут математики НАН України
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spelling Min-Oo, M.
2019-02-12T18:25:43Z
2019-02-12T18:25:43Z
2015
An Integrability Condition for Simple Lie Groups II / M. Min-Oo // Symmetry, Integrability and Geometry: Methods and Applications. — 2015. — Т. 11. — Бібліогр.: 6 назв. — англ.
1815-0659
2010 Mathematics Subject Classification: 53C10; 53C30
DOI:10.3842/SIGMA.2015.027
https://nasplib.isofts.kiev.ua/handle/123456789/147007
It is shown that a simple Lie group G (≠SL₂) can be locally characterised by an integrability condition on an Aut(g) structure on the tangent bundle, where Aut(g) is the automorphism group of the Lie algebra of G. The integrability condition is the vanishing of a torsion tensor of type (1,2). This is a slight improvement of an earlier result proved in [Min-Oo M., Ruh E.A., in Differential Geometry and Complex Analysis, Springer, Berlin, 1985, 205-211].
en
Інститут математики НАН України
Symmetry, Integrability and Geometry: Methods and Applications
An Integrability Condition for Simple Lie Groups II
Article
published earlier
spellingShingle An Integrability Condition for Simple Lie Groups II
Min-Oo, M.
title An Integrability Condition for Simple Lie Groups II
title_full An Integrability Condition for Simple Lie Groups II
title_fullStr An Integrability Condition for Simple Lie Groups II
title_full_unstemmed An Integrability Condition for Simple Lie Groups II
title_short An Integrability Condition for Simple Lie Groups II
title_sort integrability condition for simple lie groups ii
url https://nasplib.isofts.kiev.ua/handle/123456789/147007
work_keys_str_mv AT minoom anintegrabilityconditionforsimpleliegroupsii
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