Computation of Composition Functions and Invariant Vector Fields in Terms of Structure Constants of Associated Lie Algebras

• Опубліковано в: : Symmetry, Integrability and Geometry: Methods and Applications
• Дата: 2015
• Автори: Magazev, A.A., Mikheyev, V.V., Shirokov, I.V.
• Формат: Стаття
• Мова: Англійська
• Опубліковано: Інститут математики НАН України 2015
• Онлайн доступ: https://nasplib.isofts.kiev.ua/handle/123456789/147137
• Назва журналу: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Цитувати: Computation of Composition Functions and Invariant Vector Fields in Terms of Structure Constants of Associated Lie Algebras / A.A. Magazev, V.V. Mikheyev, I.V. Shirokov // Symmetry, Integrability and Geometry: Methods and Applications. — 2015. — Т. 11. — Бібліогр.: 26 назв. — англ.

Methods of construction of the composition function, left- and right-invariant vector fields and differential 1-forms of a Lie group from the structure constants of the associated Lie algebra are proposed. It is shown that in the second canonical coordinates these problems are reduced to the matrix...