Geodesic
Relationship between Nichols Braided Lie Algebras and Nichols algebras
Journal of Lie theory, Tome 25 (2015) no. 1, pp. 45-63
Cet article a éte moissonné depuis la source Heldermann Verlag

Voir la notice de l'article

We establish the relationship among Nichols algebras, Nichols braided Lie algebras and Nichols Lie algebras. We prove two results: (i) The Nichols algebra B(V) is finite-dimensional if and only if the Nichols braided Lie algebra L(V) is finite-dimensional if there does not exist any m-infinity element in B(V); (ii) the Nichols Lie algebra L-(V) is infinite dimensional if D- is infinite. We give sufficient conditions for the Nichols braided Lie algebra L(V) to be a homomorphic image of a braided Lie algebra generated by V with defining relations.
Classification : 16W30, 16G10
Mots-clés : Nichols Lie algebra, Nichols algebra, Nichols braided Lie algebra 
@article{JLT_2015_25_1_JLT_2015_25_1_a3,
     author = {W. Wu and S. Zhang and Y. Zhang},
     title = {Relationship between {Nichols} {Braided} {Lie} {Algebras} and {Nichols} algebras},
     journal = {Journal of Lie theory},
     pages = {45--63},
     year = {2015},
     volume = {25},
     number = {1},
     url = {http://geodesic.mathdoc.fr/item/JLT_2015_25_1_JLT_2015_25_1_a3/}
}
TY  - JOUR
AU  - W. Wu
AU  - S. Zhang
AU  - Y. Zhang
TI  - Relationship between Nichols Braided Lie Algebras and Nichols algebras
JO  - Journal of Lie theory
PY  - 2015
SP  - 45
EP  - 63
VL  - 25
IS  - 1
UR  - http://geodesic.mathdoc.fr/item/JLT_2015_25_1_JLT_2015_25_1_a3/
ID  - JLT_2015_25_1_JLT_2015_25_1_a3
ER  - 
%0 Journal Article
%A W. Wu
%A S. Zhang
%A Y. Zhang
%T Relationship between Nichols Braided Lie Algebras and Nichols algebras
%J Journal of Lie theory
%D 2015
%P 45-63
%V 25
%N 1
%U http://geodesic.mathdoc.fr/item/JLT_2015_25_1_JLT_2015_25_1_a3/
%F JLT_2015_25_1_JLT_2015_25_1_a3
W. Wu; S. Zhang; Y. Zhang. Relationship between Nichols Braided Lie Algebras and Nichols algebras. Journal of Lie theory, Tome 25 (2015) no. 1, pp. 45-63. http://geodesic.mathdoc.fr/item/JLT_2015_25_1_JLT_2015_25_1_a3/