Solvable Leibniz algebra with non-Lie and non-split naturally graded filiform nilradical and its rigidity
Ladra, M. · Masutova, K. K. · Omirov, B. A.
Original · EN
The description of complex solvable Leibniz algebras whose nilradical is a naturally graded filiform algebra is already known. Unfortunately, a mistake was made in that description. Namely, in the case where the dimension of the solvable Leibniz algebra with nilradical Fₙ¹ is equal to n+2, it was asserted that there is no such algebra. However, it was possible for us to find a unique (n+2)-dimensional solvable Leibniz algebra with nilradical Fₙ¹. In addition, we establish the triviality of the second group of cohomology for this algebra with coefficients in itself, which implies its rigidity.
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