An Integrability Condition for Simple Lie Groups II

• Veröffentlicht in: Symmetry, Integrability and Geometry: Methods and Applications
• Datum: 2015
• 1. Verfasser: Min-Oo, M.
• Format: Artikel
• Sprache: Englisch
• Veröffentlicht: Інститут математики НАН України 2015
• Online Zugang: https://nasplib.isofts.kiev.ua/handle/123456789/147007
• Назва журналу: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Zitieren: 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.

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...