More non semigroup Lie gradings

Mathematics – Rings and Algebras

Scientific paper

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4 pages

Scientific paper

This note is devoted to the construction of two very easy examples, of
respective dimensions 4 and 6, of graded Lie algebras whose grading is not
given by a semigroup, the latter one being a semisimple algebra. It is shown
that 4 is the minimal possible dimension.

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