Darboux Families and the Classification of Real Four-Dimensional Indecomposable Coboundary Lie Bialgebras

Darboux Families and the Classification of Real Four-Dimensional Indecomposable Coboundary Lie Bialgebras

This work introduces a new concept, the so-called <i>Darboux family</i>, which is employed to determine coboundary Lie bialgebras on real four-dimensional, indecomposable Lie algebras, as well as geometrically analysying, and classifying them up to Lie algebra automorphisms, in a relativ...

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Bibliographic Details
Main Authors: Javier de Lucas, Daniel Wysocki
Format: Article
Language:English
Published: MDPI AG 2021-03-01
Series:Symmetry
Subjects:
coboundary Lie bialgebra
cocommutator
Darboux polynomial
Darboux family
generalised distribution
indecomposable Lie algebra
Online Access:https://www.mdpi.com/2073-8994/13/3/465

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https://www.mdpi.com/2073-8994/13/3/465

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