Linear Bundle of Lie Algebras Applied to the Classification of Real Lie Algebras

Linear Bundle of Lie Algebras Applied to the Classification of Real Lie Algebras

We present a new look at the classification of real low-dimensional Lie algebras based on the notion of a linear bundle of Lie algebras. Belonging to a suitable family of Lie bundles entails the compatibility of the Lie–Poisson structures with the dual spaces of those algebras. This gives compatibil...

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Bibliographic Details
Main Authors: Alina Dobrogowska, Karolina Wojciechowicz
Format: Article
Language:English
Published: MDPI AG 2021-08-01
Series:Symmetry
Subjects:
Lie algebra
linear bundle of Lie algebras
quasisimple orthogonal algebra
Poisson manifold
bi-Hamiltonian structure
Online Access:https://www.mdpi.com/2073-8994/13/8/1455

Internet

https://www.mdpi.com/2073-8994/13/8/1455

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