Geodesic
Lie Algebras of Maximal Class with Polynomial Multiplication
Journal of Lie theory, Tome 26 (2016) no. 1, pp. 181-192
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We prove that over an algebraically closed field F of zero characteristic an N-graded Lie algebra of maximal class with polynomial multiplication is isomorphic to W+, the positive part of the Witt algebra, or to a certain subalgebra of W+.
Classification : 17B50, 17B05, 17B70
Mots-clés : Lie algebras of maximal class, N-graded Lie algebras, polynomial multiplication, filiform Lie algebras 
@article{JLT_2016_26_1_JLT_2016_26_1_a8,
     author = {M. Tvalavadze},
     title = {Lie {Algebras} of {Maximal} {Class} with {Polynomial} {Multiplication}},
     journal = {Journal of Lie theory},
     pages = {181--192},
     year = {2016},
     volume = {26},
     number = {1},
     url = {http://geodesic.mathdoc.fr/item/JLT_2016_26_1_JLT_2016_26_1_a8/}
}
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M. Tvalavadze. Lie Algebras of Maximal Class with Polynomial Multiplication. Journal of Lie theory, Tome 26 (2016) no. 1, pp. 181-192. http://geodesic.mathdoc.fr/item/JLT_2016_26_1_JLT_2016_26_1_a8/