
Journal of Lie Theory 26 (2016), No. 1, 181192 Copyright Heldermann Verlag 2016 Lie Algebras of Maximal Class with Polynomial Multiplication Marina Tvalavadze Dept. of Mathematical and Computational Sciences, University of Toronto, 3359 Mississauga Road N., Mississauga, On L5L 1C6, Canada marina.tvalavadze@utoronto.ca We prove that over an algebraically closed field F of zero characteristic an Ngraded 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^{+}. Keywords: Lie algebras of maximal class, Ngraded Lie algebras, polynomial multiplication, filiform Lie algebras. MSC: 17B50; 17B05, 17B70 [ Fulltextpdf (263 KB)] for subscribers only. 