Hom-Lie Algebras and Hom-Lie Groups, Integration and Differentiation

In this paper, we introduce the notion of a (regular) Hom-Lie group. We associate a Hom-Lie algebra to a Hom-Lie group and show that every regular Hom-Lie algebra is integrable. Then, we define a Hom-exponential (Hexp) map from the Hom-Lie algebra of a Hom-Lie group to the Hom-Lie group and discuss...

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Published in:Symmetry, Integrability and Geometry: Methods and Applications
Date:2020
Main Authors: Jiang, Jun, Mishra, Satyendra Kumar, Sheng, Yunhe
Format: Article
Language:English
Published: Інститут математики НАН України 2020
Online Access:https://nasplib.isofts.kiev.ua/handle/123456789/211082
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Journal Title:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Cite this:Hom-Lie Algebras and Hom-Lie Groups, Integration and Differentiation. Jun Jiang, Satyendra Kumar Mishra and Yunhe Sheng. SIGMA 16 (2020), 137, 22 pages

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Digital Library of Periodicals of National Academy of Sciences of Ukraine