Three dimensional real Lie bialgebras
Marco Farinati, A. Patricia Jancsa
TL;DR
This paper provides a complete classification of all real three-dimensional Lie bialgebras and details their automorphism groups, advancing the understanding of their algebraic structures.
Contribution
It offers the first comprehensive classification of three-dimensional real Lie bialgebras along with their automorphism groups.
Findings
Complete classification of all real three-dimensional Lie bialgebras
Determination of automorphism groups for each Lie bialgebra
Foundation for further studies in Lie bialgebra structures
Abstract
We classify all real three dimensional Lie bialgebras. In each case, their automorphism group as Lie bialgebras is also given.
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Taxonomy
TopicsAdvanced Topics in Algebra · Algebraic structures and combinatorial models · Advanced Algebra and Geometry