Cartan Subalgebras of Leibniz $n$-Algebras

Details Cartan Subalgebras of Leibniz $n$-Algebras Cartan Subalgebras of Leibniz $n$-Algebras

2008-02-11

arxiv.org/abs/0802.1426v1

Mathematics

Rings and Algebras

20 pages, submitted to Communications in Algebra

Scientific paper

The present paper is devoted to the investigation of properties of Cartan
subalgebras and regular elements in Leibniz $n$-algebras. The relationship
between Cartan subalgebras and regular elements of given Leibniz $n$-algebra
and Cartan subalgebras and regular elements of the corresponding factor $n$-Lie
algebra is established.

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