Geodesic
Unified Products for Braided Lie Bialgebras with Applications
Tao Zhang1
1College of Mathematics and Information Science, Henan Normal University, Xinxiang, P. R. China
Journal of Lie Theory, Tome 32 (2022) no. 3, pp. 671-696

Voir la notice de l'article provenant de la source Heldermann Verlag

We construct unified products for braided Lie bialgebras. Some special cases of unified products such as crossed product and matched pair of braided Lie bialgebras are studied. It is proved that the extending problem for Lie bialgebras can be classified by some non-abelian cohomology theory of braided Lie bialgebras. As a byproduct, a non-abelian extension theory of Lie bialgebras is developed. Furthermore, one dimensional flag extending systems of Lie bialgebras are also investigated.
Classification : 17B62, 18D35
Mots-clés : Lie bialgebra, braided Lie bialgebras, unified product, non-abelian cohomology, Yetter-Drinfeld modules

Tao Zhang  1

1 College of Mathematics and Information Science, Henan Normal University, Xinxiang, P. R. China 
Tao Zhang. Unified Products for Braided Lie Bialgebras with Applications. Journal of Lie Theory, Tome 32 (2022) no. 3, pp. 671-696. http://geodesic.mathdoc.fr/item/JOLT_2022_32_3_a2/
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     author = {Tao Zhang},
     title = {Unified {Products} for {Braided} {Lie} {Bialgebras} with {Applications}},
     journal = {Journal of Lie Theory},
     pages = {671--696},
     year = {2022},
     volume = {32},
     number = {3},
     url = {http://geodesic.mathdoc.fr/item/JOLT_2022_32_3_a2/}
}
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