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Journal of Lie Theory 26 (2016), No. 1, 181--192
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

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+.

Keywords: Lie algebras of maximal class, N-graded Lie algebras, polynomial multiplication, filiform Lie algebras.

MSC: 17B50; 17B05, 17B70

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