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A bialgebra theory of post-Lie algebras via Manin triples and generalized Hessian Lie groups [PDF]

open access: yesarXiv
We develop a bialgebra theory of post-Lie algebras that can be characterized by Manin triples of post-Lie algebras associated to a bilinear form satisfying certain invariant conditions. In the absence of dual representations for adjoint representations of post-Lie algebras, we utilize the geometric interpretation of post-Lie algebras to find the ...
arxiv  

Particle-like, dyx-coaxial and trix-coaxial Lie algebra structures for a multi-dimensional continuous Toda type system

open access: yesNuclear Physics B, 2020
We prove that with a (2+1)-dimensional Toda type system are associated algebraic skeletons which are (compatible assemblings) of particle-like Lie algebras of dyons and triadons type.
Marcella Palese, Ekkehart Winterroth
doaj  

Derivations of Lie algebras [PDF]

open access: bronze, 1966
Shigeaki Tôgô
openalex   +1 more source

Efficient Parallel Transport in the Group of Diffeomorphisms via Reduction to the Lie Algebra. [PDF]

open access: yesGraphs Biomed Image Anal Comput Anat Imaging Genet (2017), 2017
Campbell KM, Fletcher PT.
europepmc   +1 more source

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