Enveloping algebras of solvable Malcev algebras of dimension five

Details Enveloping algebras of solvable Malcev algebras of dimension five Enveloping algebras of solvable Malcev algebras of dimension five

2010-08-11

arxiv.org/abs/1008.1994v1

Mathematics

Rings and Algebras

18 pages

Scientific paper

We study the universal enveloping algebras of the one-parameter family of
solvable 5-dimensional non-Lie Malcev algebras. We explicitly determine the
universal nonassociative enveloping algebras (in the sense of Perez-Izquierdo
and Shestakov) and the centers of the universal enveloping algebras. We also
determine the universal alternative enveloping algebras.

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